{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Manifold Learning: t-SNE and UMAP for Equity Return"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook explores how [t-SNE](https://lvdmaaten.github.io/tsne/) and UMAP perform on equity returns."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports & Settings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T20:56:43.033479Z",
     "start_time": "2020-06-18T20:56:41.825735Z"
    },
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn.manifold import TSNE\n",
    "import umap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T20:56:43.036510Z",
     "start_time": "2020-06-18T20:56:43.034596Z"
    }
   },
   "outputs": [],
   "source": [
    "sns.set_style('white')\n",
    "np.random.seed(42)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load equity returns"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This example uses daily returns; remove the comment symbols to use weekly returns instead."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T20:56:46.866705Z",
     "start_time": "2020-06-18T20:56:43.037562Z"
    }
   },
   "outputs": [],
   "source": [
    "idx = pd.IndexSlice\n",
    "with pd.HDFStore('../../data/assets.h5') as store:\n",
    "    returns = (store['quandl/wiki/prices']\n",
    "               .loc[idx['2000':'2018', :], 'adj_close']\n",
    "               .unstack('ticker')\n",
    "#                .resample('W')\n",
    "#                .last()\n",
    "               .pct_change())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T20:56:47.173104Z",
     "start_time": "2020-06-18T20:56:46.867633Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "DatetimeIndex: 4705 entries, 2000-01-04 to 2018-03-27\n",
      "Columns: 1886 entries, A to ZQK\n",
      "dtypes: float64(1886)\n",
      "memory usage: 67.7 MB\n"
     ]
    }
   ],
   "source": [
    "returns = returns.dropna(thresh=int(returns.shape[0] * .95), axis=1)\n",
    "returns = returns.dropna(thresh=int(returns.shape[1] * .95)).clip(lower=-.5, upper=.5)\n",
    "returns.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T20:56:47.606949Z",
     "start_time": "2020-06-18T20:56:47.173960Z"
    }
   },
   "outputs": [],
   "source": [
    "returns = returns.sample(n=250)\n",
    "daily_avg = returns.mean(1)\n",
    "returns = returns.apply(lambda x: x.fillna(daily_avg))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T20:56:47.610001Z",
     "start_time": "2020-06-18T20:56:47.607880Z"
    }
   },
   "outputs": [],
   "source": [
    "pca = PCA(n_components=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## T-Stochastic Neighbor Embedding (TSNE): Parameter Settings"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "### Perplexity: emphasis on local vs global structure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T20:56:47.619960Z",
     "start_time": "2020-06-18T20:56:47.611824Z"
    }
   },
   "outputs": [],
   "source": [
    "n_iter = 5000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T20:56:54.950658Z",
     "start_time": "2020-06-18T20:56:47.621054Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
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wBh0A4AhPMDQfDgAAtGnt2rW6/PLLYwadsF5tba2mT5+u+fPnO10UAABswxh0AADgevfdd1/U2d4BAMglpLgDAADXmzRpkioqKpwuBgAAtiLFHQAAAAAAFyDFHQAAAAAAFyBABwAAAADABQjQAQAAAABwAQJ0AAAAAABcgAAdAAAAAAAXIEAHAAAAAMAFCNABAAAAAHABAnQAAAAAAFyAAB0AAAAAABcgQAcAAAAAwAUI0AEAAAAAcAECdAAAAAAAXIAAHQAAAAAAFyBABwAgSWeccYbKy8vN/0444QSdeeaZmjdvnm3fefPNN+umm25KezuXXXaZ7r33XklSY2OjFi9enPY2JWn79u36+c9/rmHDhmn48OG65ZZb9NVXX1mybQDZi/tla++8807YMSkvL9f48eMt2TayXzunCwAAQDa6+eab9b3vfU+S1NzcrDfffFO33nqrjjzySF1wwQUOly62Bx54QAUFBZKk//u//9OcOXP0ox/9KO3t/vznP1dzc7MefvhhNTc3a/r06br11lv1wAMPpL1tANmN+2W4jz/+WAMHDtTcuXPN59q1IyxDC84EAABS0LlzZ5WUlJiPv//97+uFF17Qyy+/7OoK5+GHH27+OxgMWrLNbdu2ac2aNfr73/+uPn36SJJuvfVWTZw4UQcOHFDHjh0t+R4A2Yn7ZbiNGzeqf//+YccEMJDijozbsmWLBgwYoPHjx5v/nX/++XrmmWckSQcPHtR9992nCy64QOPHj9d5552nefPmtboxPvbYYyovL9e7777rxG4AQCvt2rVTYWGhpJbK3Jw5czRy5EidcsopmjRpkj755BPzveXl5brvvvs0bNgwXXnllXr22Wd18cUX695779WQIUM0atSouOmUy5cv17nnnquTTjpJ3//+9/Xaa69Jknbs2KGhQ4fqvvvuM997zTXX6PLLL1cwGDRTNteuXatbbrlFdXV15r10wIABqq+vNz+3adMmVVRUaPv27Xr22WdVXl4etSydO3fWvHnzdOyxx5rPeTweBQIBNTY2pnIoAeS4fL1fSi0Beu/evVM9dMhxBOhwRIcOHbR06VLzv4ceekh//OMf9eGHH+qGG27Q3r17tWTJEi1dulQLFy7U8uXLdf/994dtY/HixTrvvPP06KOPOrQXANCiqalJL7/8sl5//XWdccYZkqTHH39cS5cu1V133aWnnnpKZWVluvLKK3XgwAHzc6+88ooWLVqkW2+9VZJUVVWl9evXa/HixZoyZYp+85vfaOXKla2+78MPP9TUqVN1zTXX6Pnnn9fFF1+syZMn6z//+Y+Ki4t18803a/78+aqtrdXSpUv19ttv67e//a08Ho+5jcGDB+tXv/qVSkpKtHr1ag0aNEg9e/bUsmXLzPe8+OKLGj58uLp3767vfve7Wr16ddT979y5s0aNGiWv91C1YuHChTruuOPUtWvX9A4ugJyS7/dLqSXF/YMPPtD3vvc9jR49WtOmTdOePXvSPrbIDQTocIXS0lKVlZVp+fLl2rRpk2655Ra1b99ektStWzfddddd+uY3v2m+f+3atdq9e7emTp2qV155RZ9//rlTRQeQp2bMmKHBgwdr8ODBOvHEE/XLX/5SV1xxhc4//3xJ0l/+8hfddNNNGj58uPr27avbb79dPp8vrEJ3ySWXqE+fPurfv7/53B//+Ecdd9xxuuiii3TuuedqyZIlrb57/vz5uuiii3TBBRfomGOO0aWXXqpzzz1Xjz32mKSW9NFTTz1V06dP1+9//3vddNNN6tWrV9g2CgsLVVRUJK/Xq5KSEvl8Pp177rl66aWXzPf8/e9/17nnniuppWE10XTMRx55RC+99JJuueWWBI8mgFzG/fKQffv26fPPP1cgENAf/vAH/eY3v9E777yjn//85ykeXeQaxqDDFdatW6dPP/1UknTiiSfK5/OFvX7ssceGpU4uWrRI5513nkpLSzVs2DA9/vjjmjp1aiaLDCDPTZ48WWeffbYkqX379malTWqpgG3btk033XRTWK/ywYMHw9I2e/bsGbbNXr166YgjjjAfDxw4UI8//nir7/7444/10Ucf6a9//av5XFNTk0488UTz8YwZM3TOOeeooqJCEyZMSGifjCFFX3zxhXbt2qVPP/1UY8eOTeizhgULFuiuu+7S7bffrm9/+9tJfRZAbuJ+echhhx2mf/7znzrssMPMY/CHP/xBF110kT777DP16NEjoe9H7iJAhyMaGhrM5ST8fr+6deumu+++W5s3b25zEo76+nq98sor5o32ggsu0PTp0/WTn/xEnTp1sr3sACBJxcXFKisri/qa3++XJN1zzz3q169f2GtFRUXmv41MIUPkLL5+vz+swhr6/KRJk3ThhReGPW+M55RaKqWBQECbNm3SF198odLS0jb3qV+/fjruuONUWVmp7du3a9SoUWHlbcusWbM0e/Zs3XbbbZo4cWLCnwOQ27hfhuvSpUvY4759+0qS6urqCNBBijucEToG/YUXXtBjjz2mUaNG6aSTTtIHH3xg3qwN77//vtlD/tRTT0mSrr/+ep1xxhm66667tHfvXj333HMZ3w8AiKZLly7q3r276uvrVVZWprKyMh199NG65557VF1dHfNztbW12rt3r/l4/fr1USca6t27t2pra81tl5WVaenSpaqsrJTU0iP161//WlOmTNEJJ5ygO++8M+r3hY6xNJx77rn6xz/+oVdffdVM10zEo48+qjlz5mjGjBm67LLLEv4cgPyWb/fL999/X4MHD1ZdXZ35XFVVlXw+X8xGDOQXAnS4yuDBg9WnTx/9/ve/18GDByVJX375pX7zm9/o6KOPlt/v19NPP61f//rX+sc//mHeFK+99lotXLjQ0iUwACAdV155pe6//34tX75cNTU1+vWvf6033njDXIYsmgMHDmjatGn6+OOP9dRTT+mll16K2hN95ZVX6qWXXtIjjzyimpoaPfnkk5o7d66OOeYYSdJ9992nwsJCXX311Zo2bZpeffVVvfzyy62206lTJ+3Zs0ebN29Wc3OzJOl73/ue/vnPf6qmpkZjxowx39vQ0BA2Y3Gozz77TDNnztSll16qM844Q/X19eZ/kQ2uABApn+6Xxx9/vEpLS3Xrrbdqw4YN+uc//6nbbrtNF110kYqLi5M6bshNpLjDdWbNmqV7771XF154oXw+nwKBgC644AJNmjRJr7zyigKBgM4777ywz1x55ZVauHChVq5cqdGjRztTcAAIMWnSJB04cEC//vWv9dVXX2nAgAGaP39+3NTJI488Uj179tQPfvADlZSUtJog03DyySdr5syZ+tOf/qSZM2eqZ8+e+t3vfqfRo0fr/fff1xNPPKGHHnpIhYWF6tu3r6644grNmDFDw4cPD9vOsGHD1KdPH51//vl68sknNXDgQPXo0UMVFRXq1auXOnToYL73xRdf1C233BK1R+sf//iHGhsbtWjRIi1atCjstZdffpleIQBx5dP9srCwUA899JB++9vf6tJLL5XP59N5552nX/ziF2kcQeQST5AuRwAAHPfss8/qvvvuM9fnddJZZ52l22+/XaNGjXK6KADQCvdL5DJ60AEAgCRp5cqVWrNmjQKBgEaMGOF0cQDAtbhfwi4E6AAAQFLL+uUfffSRZs6c2Wq5SwDAIdwvYRdS3AEAAAAAcAFmcQcAAAAAwAUI0AEAAAAAcIG4AfqkSZMyVQ4AyHrcMwEgMdwvASC6uAH6zp07M1UOAMh63DMBIDHcLwEgOlLcAQAAAABwAQJ0AAAAAABcgAAdAAAAAAAXIEAHAAAAAMAFCNABAAAAAHABAnQAAAAAAFyAAB0AAAAAABdo53QBAMBOlVV1WrWhXiP7l2hsRanTxQHaxDkLIJfEu6dxvwNaowcdQM6qrKrTlCfXaeGaGk15cp0qq+qcLhIQF+csgFwS757G/Q6IjgAdQM5ataFeB5r8kqQDTX6t2lDvcImA+DhnAeSSePc07ndAdAToAHLWyP4l6ljgkyR1LPBpZP8Sh0sExMc5CyCXxLuncb8DomMMOoCcNbaiVLMuHcz4NmQNzlkAbpTqOPJY9zTjM1eP6K09DU3c74AQBOgActrYilL+6COrcM4CcBNjrPiBJr+efnuLZl06OCzQjvWaIfKeFvqZQp9Xp/Xr3ur7aKREPiPFHQAAAEBUVo8jD/1Moz+gFdX15iRxTBwHEKADAAAAea+yqk7Tlq5vFRRbPY489DMGI7hn4jiAFHcAAAAgLxnp5EUdCrRg9WYdaPJr8Vu1Oq1fd00YWmamp8eaGyOVeTOMzyxaW6PXN25Xoz8QFtw//fYWHWjyM3Ec8hYBOgAAAJBnQseC+zySP9jyvJF2/uamHeaYciPwNnq0I4P0ZMeKG5+JNt6ciTKR7wjQAQAAgDwTmk7uD0o+r0f+QNB83UgxNwLptiaDS0W04D6RgJ+J5JDLGIMOAAAA5JBY48lDRY4fv25UX40pL1Ghz2s+Z6SYOzE2vLKqTlc9/JauevitsP1gIjnkOnrQAQAAgByRaG93W2uUhz43sn9JRseGV1bV6frH/6Xmr3v0X9+4XbMnDtHYitKojQX0oiOXEKADAAAAOSKZADbRFPNUJoNLx6K1NWZwLrWMizf2I9ONBUCmEaADAAAAOcKuADaVyeCs4vXI3I9MNBYwxh1OIkAHAAAAckSme7vtMGFombkEm1fS9aP7pT1zfKLsmhAPSBQBOgAAAJBDnOzttsLYilLNnjjEkUYGxrjDaQToAAAAAFzFqUYGxrjDaQToAAAAAKDcGCKA7EaADgAAAABfy/YhAshuXqcLAAAAAAAACNABAAAAAHAFAnQAAAAAAFyAMegAAAAALFNZVccka0CK6EEHAAAAYInKqjpNeXKdFq6p0ZQn16myqs7pIgFZhQAdAAAAgCVWbajXgSa/JOlAk1+rNtQ7XKJwlVV1mrZ0PQ0HcC0CdAAAAACWGNm/RB0LfJKkjgU+jexf4nCJDqF3H9mAMegAAABABuTD2OyxFaWadelgV+5ntN59N5UPkAjQAQAAANsZvbcHmvx6+u0tmnXp4JwNDsdWlLpy30b2L9HTb2/RgSa/63r3AQMBOgAAAGCzyN7bmcs+lCRXBrK5ys29+4CBMegAAACAzULHZktSdd1e142DtnoCNTdOyDa2olQzxg8kOIdrEaADAAAANjN6b3se3sF8zk2znFs9gRoTsrmHGxtKEBsBOgAAAJAh9XsazX8X+ryuGQdt9fJobl9uLV/QUJJ9CNABAACADFi1oV6N/oD5+LR+3V2Tam318mhuXm4tn9BQkn2YJA4AAADIgMhZxCcMLXO6SCarJ1BjQjZ3YOb67EOADgAAAGSA24NWq5dHc+tya/nE7eccWiNABwAAADKEoBWVVXUZDZg557ILY9ABAAAAIAOYtA1tIUAHAAAAgAxg0ja0hQAdAAAAADKA2e3RFsagAwAAAEAGMGkb2kKADgAAAAAZwqRtiIcUdwAAAAAAXIAAHQAAAAAAFyDFPQMyvdYhAAAAkC/srmtTl0cmEaDbzFjr8ECTX0+/vUWzLh3MhQ0AAABYwO66thvr8rnSYJAr+2E1UtxTVFlVp2lL16uyqi7u+1jrEAAAALCH3XVtt9XljQaDhWtqNOXJdW3GIul8TyKxTjrbz8R+ZCMC9BQkc0Kx1iEAAABgD7vr2m6ry2eiwSATwbPbGj7chAA9BcmcUMZah5cPL3NFSgwAAACQK+yua7utLp+JBoNMBM9ua/hwE8agp2Bk/xI9/fYWHWjyJ3RCsdYhAAAAcombxg/bXdd2U13eaDCw89gnG+ukIhP7ka0I0FPACQUAAIB85caJ0/JJJhokMhHruKnhw00I0FPECQUAAIB8FC0FmnpxbiHWcQ5j0AEAAAAkjPHD8dk9AzpyGz3oAAAAQIa5aQx3shjuGRvp/0gXAToAAACQQbkQxDmdAu3WBg7S/5EuUtwBAACADMrXNaCtSv3OxDrdqSL9H+kiQAcApI3xdgCQOLcEcZm8d1sZVNvVwGHF8XDbuunIPqS4AwDSkgupmgCQSW4Yw53pe7eVqd92rNNt5fGwKv3fyjR+tw4JQGv0oAMA0pKvqZoAkEPSxJ0AACAASURBVI6xFaWaMX6gY8FSpu/dVmYN2NFL7ba/ZVZmHLh5SABaI0AHAKTFLamaAGCFfBmyk+l7t9VBtdUNHG77W2Zlg4HbGh+skqvXKinuNiGNBEC+cEOqJgBYIZ+G7Dhx73Z65vd43Pa3zMo0fjuGBDgtl69VAnQb5PIJAwDRuLnSBQCJypYlsqzqCOLeHc5Nx8PKBgO7Gh+c7JDMlms1FQToNsjlEwYAACBXZUNPIx1B+cPKBgOrGx+cPg+z4VpNFWPQbeD0GJZcHY8BAABgp2xYIitXxxMjuzh9HmbDtZoqetBt4OQYFqdbswAAALKZm9Kco8mlnsNcWEYsX+edcsN56PZrNVUE6DZx6oQhvR4AACB3Od0RZGVAbVWnklMdVPncMea2SfVyCSnuOcbp9HoAAADYy4k11K1eSzsXlhFL5XtzaSiqE+dhPiBAzzG5PB4DAAAAzrA6CLayUynZbVkVJKfyvVY2cqQilxoIchUp7jkoV8djAAAAwBlWjzl2ahkxK9PSk90Hp4ei5nNKfqqcmGOAAB0AAADIYVYEGXaMOXZiGTGrg+Rk9sHpidWcbiAIlQ2T6znVoEGADttlwwUIAACQi6zuMc50Xc7qeqSTQXKqjRxWHQOnGwgM2dKT71SDBgE6bJUtFyAAAEAuclOvabLsqEcmGiTb1cGUbCOHkyn5dsmWc9KpBg0miYOtnJpVEwAA5C8mwjokm1f4sase2dbs426YzM1g9TFww8zr2XJOOjX5Nj3osJVbUmkAAEB+cGv2nlND/jLda2rlfjpVj3RTD68b6tJWn7tu6clPhBPDOgjQYatsugABAED2c1NwZXC60SBTQYbV++lUPdINQbHB6bq0Xecuq07FRoAO23EBAgCATMl0cJVI76KTjQaZ7Lm3Yz8TrUdauZ9OB8XRysN48fzBGHQAAADkjEyOG010rLJTY24zPZY6l/bTDWO13SBbxovnEnrQAQAAkFMy1eOYaO+iUz2yme79dGqGdDf28tqZuZDJrAinzt18XqaZAN1i+XwyAQAA5JNk0umdSFO2Mt0/0TpuW/tpx5jmaPtpdZ08me3F28d0y+XEfAaZPnednrPBaQToFsr3kwkAACCfuG2sciSrymdlHdeuceqh+ykpqfK2FTQnu/+x9tGK45jq8cumTkQ3ZkRkUk6PQc/0Gpis+Q0AAJBf3D5W2YryWVnHTWVMcyJ1+tD9TKa8iYxfT3b/Y+2jFccx1ePnlnXdE5Hv495zNkB34kTMlpMp0w0XAAAAiM/N9TMr67jJTuKXSp2+qEOBfF5PQuVNJGhOdv9j7aMVxzGVSRCzrRMxkxM9ulHOprg7kRrh9jQniTR8AAAAt3F7/czqOm4yY5qTrdNXVtVpwerN8geC8nmkq0f0jvv+RMbpp7L/0fbRquOY7JhwN63rnig7xr1nS5p/zgboTp2Ibl/zO9/HdAAAALiNXfUzq9cGT3YbVnx/snX60GPpD0p7Gprivj/THWxOxArZ0IloN7c3goXK2QCdEzG6dBousqXVCQAAIJvY0bHkdECS6vdH1jeTrdOnciydmHk+U0KP54zxA50ujmOyqZMyZwN0yf292U5IteEim29MAAAAbmZHx5LTAUkq3x+rvhmrTh+t8ygXj2Wq3FR/d7qjL5vS/HM6QEd0qTRcZOuNCQAAIBtY3bGUbkCSbkCVyvcnU9+MF3w6fSytDEbT2ZZb6u9uaCjIpuxqAnQkJJtanQAAAPJdOgGJFQFV6PcXdSgwZw5Pd8I2Q7rBZ2VVnRatrZEkTRhaFvez0dZZn7Z0fdTjamUwmu623FJ/d0tDQbZkVxOgIyHZ1OoEAABgNadTdFORakBiVUBlfCbRIDOZ+ma68yr95Il31OgPSJJe37hdsycOaTNIH1tR2mbQnOixS+R8Svd3iHc8M3k+u6WhIFsQoCNh2dLqBAAAcl8mAww3pOhmkpUBVbJBZmh9M95vnE7n0aoN9WZwLkmN/kDCwW+sNcWNciRy7BI9n6z4HaLV3zN9PtPRlxwCdAAAAGSVTAcYTqfoZrr33sqAKtUgM5HfONnOI+M4FnUoUKHPawbphT5vwuWK3J+iDgWtytnWsUv0fLIrsHXifKajL3EE6A65e1m1lldt01kVR2nquHKniwMAAJA1Mh1gOJmi61TvvVUBVapBptW/cehx7Fjg0zWn91HVZ7sltT0GPVTk/kQr54zxAy1Lz7cjsHVjynk2DiGxq8wE6BlWWVWnWa98pA+2fiVJqq7bKEkE6QAAAAnKdIDhZIqu0733VkglyLT6N448jnsamvTwVd9KaVuR+xPZox5rArnQz6e67LEV56DbUs6zcQiJnWUmQM+g0B8y1PKqbWaAno2tRwAAAJnkRIDhVIpuupOhZWu9sq3fON6+RXvNrkadyNnqF6zenPCEeMnuk5UBoZtSzrOxEcrOMhOgZ1DoDxnqrIqjJGVn6xEAAIAT3BRgJCqVgDmd3lYr65VOBPuxfuN4+xbrtXQC/kRVfbY77gRy8bZr1ezw2ciNKfdtsbPMBOgZFPpDtvN6VNqlvS4YfLTZe57LFx4AAEA+SydgTqUxwop6Zeikaon2DCe6zXQC4Xj7Fu+1VAL+RPbHWLKtnddjTj4XawK5VJdUsysgdEOWhdtS7hNhZ5kJ0NOQ7And1g+Zja1HAAAAaFu2TWwXGrT6PJI/2PJ8OmUPDWYXv1Xb5trjscTbt1T2O53fZtHaGnM2+OZAUIN6FmnwMd1iTiAXa7ttlduOgNBN2bvZmBFjV5kJ0FOU6gkd74fMxtYjhHNDKyQAAHCfbJvYLjS49Acln9cjfyCYVtlDg9lGf0CL1tZobEVpq/pTW/WpePs2tqJUV4/oba6WFKvH3PisJNXu2B/W853ObxOUx/x3srO1t/V7WR0Qkr3rTgToKbLrhM7G1iO0cFMrJAAASJ6dDe3ZNrFdZHB59Yje2tPQZHnZI+tPV4/onVA6fbx0dePzm7/cpKrPdoctoxb6fYvfqpXU0lhQ6PNqTHlJUkuuSS1LtL2+cbuZ4v7Rtj1av3V3wmuiJ7JP8aRzzlrdaERHlTUI0FPkhnR0LgJ3oRUSAIDslYmG9mzqiLGjQSE0mC30eTVhaFmr+tPyqm1p1adCt9foD2hFdb1e2/ClrhvVV1PHlbd63dDoD6hXcaek93NsRalmTxyiVRvqVbtjv1ZU15tlX7S2Rg9f9S3bfvN0z1krf2M3dVRle4zkdboA2aCyqk7Tlq5XZVWd+ZxxQl8+vMyRE9C4CBauqdGUJ9eFlQ3pi/abt2Vk/xJ1LPBJEnMIAACQZaI1tOe7sRWlmjF+oGX1XCOYvXx4mTn+PLL+dFbFUSr0tYQohT5v0vWp0O0Z/IGg5r66UZVVdWGvF/q85nelU3cz9kOS2nkPpbi/vnF7WF2yrfplsvVPK85Zq35jt1w/uRAj0YPehnitQcm2glrZmpNMb222tyJlWjrzCzCHAAAA2ckN2ZHxpFqfc1s9MLL+HFl/smL7sy4drEVra7Tyo3oFvp7czh9sqT/PGD+w1felu/RaaN0xtPez0R8w6+ht1S9TqX+66Zx1S1lyIaOVAL0NVv3IVqd9JHoRuCndJBFu+COSzm+eTalrAADgEDc3tKdan8tEPdCKulto/Wna0vVhE8mlUvc2tnf3smrNfXWj/MHwHvJojQTR9iuVJdICOjShns8jFXUoaPWeaPXLVOqfbjpn3VIWtzQUpIMU9zZYlbZsddpHoin2bkk3SYRbUlJIVQcAID9ZndItpTZsLlKq9Tm764F21N1SrYdFO85Tx5Vr7mWnakx5iYb1KU6qHG0du9DviyzzuBOOagnSg9KC1Zujvidyv1LdbzvO2VS5oSxOD0O2Aj3obbCqNchoPYv1ONWyZVPqS1vckpLilhZAAACQ3azqwU61Pmd3PdCOulsq9bB4x/nd2l167aN6+YPSm5t2JPwbxDt20b4vtMyrNtTL/3VuvXFcIlPrI8tgRf0z2WwGN2Su2lGWbM9oJUBPgBU/8p6GpriP0xHvhM6mYNNNjQnZfmEDAADnWRXAplqfs7seaFfdLdl6WKzjXFlVp7krP5b/63HoyfwG8Y5dtO+L7DmOdlza2q/I15MJWpNtDHLTMFg3lcUNCNAzJPIGVtShQNOWrs/IkgbZEmxmU2MCAABAW6wMYFOtzxmfMVK0raxfZbLuFi9YjXWcQ3uyJcnnUVK/QaxjHu37IstnRW94MkFrso1BbslcdVtZ3MA3ffr06bFeXLJkiS655JIMFid39S3prPKjitStU4GG9emuBas36181O7W8qk7lRxWpb0nnlLb76Buf6F81OyVJzYGgunUq0Jjjj7Sy6BnVt6Szxhx/ZMrHw1BZVadH3/hEzYFg2tsCEsU9EwASk+r9Mtv+vofW/64b1deRoMMI9Kyod0bTVt3Nit+srX2IdZybA0Etr6pTcyAon9ej60b302XDy1IqQyjj+/Y2NOnobh3lD0q/e/E/YeUbW1GaVp022Tp+6L52LPDpulF94353su+3k5vKEk2m7zv0oGeQ0Qo3bel6y1qJ3JQW7hakyQAAkHuy9e+705mMTvZOxvvNkknfTmQfoh1nu3v439y0Qwea/OYY93jlS1aydfxk99VNmatuKkskJ+47BOgZVllVp9od+1Xo86rRH7Ak3cmtJ7RTSJMBACD3OB1oOp3GnapUOnOsKke8seHJBD3pdEjZ1UASum/+4KGl1dKp26ebJp/svjrdeBTKTWUJ5cR9hwA9CclO1BD53tCbUaHPqzHlJZowtCXNJp3x6G49oZ1CVgEAALnHqb/vmepBs+t7kg30rCxHvLHhiQQ9ofXpVGZ2T7aRIZnPRO7b1SN6a09Dk+VjzqnjO8uJ+w4BeoKSuVnFem/ozajRH9Bnuw7o3dpdWrB6c9qpPziErAIAAHKPU3/fM9WDZuf3JBPoWVmOWL9ZIkFPtPr0jPEDE/reVBoZkv2M1eejmzNA8zkmceK+47X9G3JEtIsm2feO7F+ijgU+833VdXs1d+XHUd9r3CQWrqnRlCfXqbKqzpb9ylVjK0pbLXcBAACymxN/30Prb3b2oGXqezJdjmi/mRH0XD68LGYgnEzdO9nPVlbVadrS9WH161S+z8rz0arjHm3f0pENMYnV+xwp0/cdetATlGh6Q1tjzIf1KdZHdXu0dVeDJMkfCMrnaRm7kkrqDwAAAOyTqR40t2QAplKOVHpY2+rVTye1ON5nY/WUOz1E0oml2RLh9pgkWyePjIcAPUGJXDSxxphHToZR6POGBfDGmJWiDgVhve123CTyOUUFAAAgFZkaC+yWMcfJlMMtY+cT/WysgDOZ77NrfHu6v78dwbTTDRdtcXsDQioI0JPQ1kUTOca8V3En8/2Rr40pL1Gv4k7mRRrt5mbcJEID93ROuFxsYQIAAEBi7OioccvYeUPoPkYbsx4v4Iz3fcZ2izoUxJw/Kl6Z0qmDJ/q72RFMJ9pJ6VQHoNsbEFJBgG6hWCdItLR3o2fdEO3mZtxUUrmgo10oudjCBAAAgLbZ1VHjpgApkX1MNYXf2K6xnJqUeH06nTp4Mr+bXcMk2mq4cLID0C1DQ6xEgG6haCdIZGr7oJ5ddETn9q0+W9ShIOrjti7otpZze+LNGl03up+mjit31Q0UAAAAmWNXR43dY9aTeW+i+5hsz3zYmucx5o+KJ506eLK/W6aHSbihA9AtQ0OsQoBuscgTJDK1veqzr+QPSm9u2hHWwrSnoSlsO8bjVCa5CLuJBKW5Kz/Wyb0Oz8kWJgAAACdly/w+dnbU2DVmPdneWbv2Md01z9Opg7u9g83t5ctGeR+g23FTrayq06K1NZKkih5d1bHA12ZKTKyTO5lJLhatrTFnoXzizRr5W75K/kAwbAIMN//xAAAAyBZ2pPfaFfC7paMmmR7XVHqP7UrxTne7qdbBrdwnO84tt5xXuSSvA3Qrb6qhE0c89NomNfoDkqTXN27XNaf3MWdpNyaViDYpRayTO/KCDv0uY1y78V13L6vWnoYmjRv4DS379zb5A0FaswAAAGxgdXqv3eN5reyoSTXYS6bHNZXeWWMfjbWxrQoanezksuK77Ty36AC0Vl4H6FbcVI3e8tc3blejP2COSTE0+gPa09CkGeMHqrKqTsP6FEtSq0niErnJRX5XxwKfjjuqSOu37ja/a+6rG+UPSj6PNG7gN3RE50LzZmblTQoAACDfWZ3ea2XAb2fqfTrBXjI9rqn2zjo9cZkbuWGseCqcGELi9LCVvA7Q072phl78Bn9Q8nqkrzPZVejzamT/krD3GrO4R9tOtJtIZGBuONDk1869B81e9NAUen9QWvbvbZr7X6dIij4TvNMnHwAAQDazOr3XqoDf7gA13WAvmR7XVHpnszUYtVM2jhV3oqHFDY07eR2gp3tTDb34DcbEEVWftfRqGz3l05auj3mjiHUTiRWYh9q6u0GFPq/GlJeookdXswddahl7vmhtjXoVd2q1fSm15dsAAACyjZ2dElam91oV8NsdoLo92LOyocOu2ekzLRvHijvR0OKGxp28DtClxG6qsS62kf1LtPitWjO1/aguHXTBkKM1dVx5q23Eu1FEey1a73yo4sMKtGNfy0zvjf6AehV30sm9DldFjy5av/UrGVn2LWPgD01UZ2zfDScfAACA3dzQI5YMKwJ+uwPoTAd7yQa+VpQv2fPG7vPMiuA/3XMr0w0QTjQEuaHxyTd9+vTpsV5csmSJLrnkkgwWx32Mi+1fNTu1vKpO5UcVqW9JZ0nSpvp9evGDz+UPBhWUtOdgs9Zv3R32HkPfks4qP6pIn3y5V5J0eKdCndbvCPNEH9anuwZ8o0jXjeorSZq57ENt++pgzHIN69NddV8dVPPXk8AN69Ndd75Qpc93N8gT8j5/MGhut1unAl03qq/GVpSqORDU8qo68/PXjerbqswAksM9EwASk8n75aNvfKJ/1eyUJDUHgurWqUBjjj8yI9/tFKPeGVr3S0RlVZ0efeMTNQeCbdYL+5Z01pjjj7S9/hivLp5I+TbV70t4n0Ile97YeZ6legys5EQZUj2Ps+07I+V9D3pb4vU0r9pQ3yr1PF5v9Lu1u/TB1q8kSbNXbNTmL/dpxYdfmC00sy4dLEkxe86Nse3GGPaKHl21vGqbzqo4SlWf7TbLEgx5b6HPq9od+yVJM8YPNLeVzqQbxgzyyaz/CAAA4AQ39Ig5IdneUrdmGqST9ZnOPiV73qR6niXSK+2GzFenyuDEDPFOz0pPgN6GRFPTDdEuSOPCe+U/dWHPv7Gx9Ylu/DuSMbbdCIolmUu2baz/WD0P7xj2/qO7dZI/EFDdVwe1orpeb27a0eqmlM6N2+CmGzgAAECkbBx76wS7A7BMLMsWKZ19auu8idyfVM6zRBsQ3NDI5IYy5AsC9Da0tT658VqsHuXQC8/rCd923yOL9O6nO+UPhgf2xrh2SWrn9Whk/yNU0aNr2PZDJ53zB4LasmO/2nk9ag4E1c7r0bbdDa1mfA+dfC7ezSPW69EmxUtneTr+UAIAgExwukcskhvrQXYGYJlali1SuvsU67yJtT/JnmeJNiC4oZHJDWXIFwToCYh3sbV1IYZeeIGQ9dFPKeumqs++almz3OvRmOOPNE/40/p114rqlt705q8/9NBrm9ToD2jxW7WaPXGIvtzbGPY9AUmj+h+hXsWdVLtjv/l5Q7TJ555+e0tYr7wRvBuvL36rVqf1627ORJ9IxkCi67m7MYUKAADAbm6tB9kZgGVyWbbIz9mxT1ZlGyTTgOCGRiY3lCEfEKDbIDRIjRbUStK2XQfCesCX/Xub/IGgGTS/uWmHDjT5Vejz6r0th8aXN/oD+uVf39fOfeEButcjc231RWtrzLXRC33esCA7crm3B1dsVEAyA//QG06jP6AV1fV6bcOXum5UX00dVx43YyDRPzhuGEcDuIUbe1EAAPZxcz3IrgDMyfRoO/bJqv3JZK809Y3swSzuFouc4fCcQd/QOYO+ob0NTdqy84DZi36gya92Xq/8waB8HplrlzcHDs26vrehSbU7Dmjvweaw74g2Rr3bYQUqKeqgO1+o0sf1++TxSCf06KIjOheqU2E7+YPSsn9vU1GHAq3fulvNgWDLRHJff94fDGpvQ5O+d2IPc3Z3QzAovVOzQxU9upozwG/4Yk+rCzzR2SuTmUE+mdlEAacle890w6ysAOCEfK5jZvNKOqnWy9KdGdtt9UErZ/rOxGz41DeyCz3oFotsFZ257EPdNO54PXzVt3TVw2+Fpa6PKW9JSS/qUGBO+ObzelTUoUBjK0q1aG1Nq1niY9mxr0lzVmw01z9vDgTD1kM3vjd0srl1n+40Z5U3GC15i9bWaOVH9WaDgj8ocxK7WL3ksVoTU51Ew60pYIBV3NyLAgCwR7aO5U23XpZqT7Zd9cF0e5SzKd2b+kZ28dqx0cqqOk1bul6VVXVtvznHjOxfoo4FPvNxdd1eTXlynSqr6jRhaJn5mrFU2ozxAzV1XLmuHtG7pSc9ENSC1Zt197Jqvb5xe8zviZxwTpKCbTyWWi7K5VXbNLJ/iaaceZwKfS2nQKHPa6bIj60o1YShZTqhRxfzBDEC7kVra6LOPG98btalg3X58DLz5mncVBeuqTGPg/HeGeMHJjx+P/K7gFwQer9gRlQAyB+J1IOSZXf926l6mR3fG6t+mqucrG/kc1yYKst70PO919MIUmcu+1DVdXslHbqZzBg/MGaL6Z6GJjPN3QiiY/WeH1bo1f6mxHrWo6mu26vrHntb143uZ447Ny7UaUvXh/Xoh45hlxTWaFDo87a6wCNbE9NpsWM5B+S6bO1FAQC4Sybq307Vy+z43nzrUXaqvuGWuDDbxt9bHqDn2wkfjbG/xgmZyM0k8uZzVsVR+nTH5qjjzfc1phact2/n0cHmllYAf1Cau/JjXTeqryTp3dpdYWn2/q9z2xv9AfUq7mROMBfaaHBav+5t/rbJ3lQjLyCCF+S6bEqRAwC4Uybq307Vy+z43nzsBHKivuGGuNAtjQTJsDxAz6cTPl5rTLSbSbwTJNr7T+51uBatrdHrG7er0R+QR9HT1hPV2ByUVyETwwWCmvvqxpal3kImqvMHDk1cF/obRv62Rq96PLGOQ7TjFm9NyWRkWysZAABAOjJV/3aqUdnq76UTKDPcEBe6oZEgWZYH6PlywrfVGhMtSIw2gZyksCA9dBvGY2NbX+5t1EsffK5Uk9uDkgb27KKqz/e0BOEhPeXGeuz+r2cUjVwf3ShPKr9t6H7FO25WXEDZ2EoGAADcKVsa/fOl/m0lK4L+bDk/nOKG89INjQTJsmUW93xI2YwXTMYKEiPXRDcmkJt16WBzm5Hrioeupz7lyXUpB+eS5JG0+ct96ljgVffD2isoacvO/QoEW8aTf6NrBzX7A7pgyNGaOq486jYS/W1j3bDiHTcrLqBsbCUDAADuk22N/m6tf+dqEGv3+ZErx83p89INjQTJYpm1FMULJmMFibEmkFu0tkZvbtoRdoFLh8awP/FmjSp6dIk6Hj1RBT6PmvxB7T3Yso29B/ebr3kk+QMB1exoee7PKz+WpFY96ImKd8OKd9ysuICysZUMAAC4D43+6cu2Ro5k2Hl+OHHccqVBIBqnGwmSRYCeonjBZFtBqBQ+gZykVqnvPQ7vaD7nD0r//uwrtfN61BxIfhS61yM1+WN/LqhD48+lljXUH3x1owJBpXRTiHfDaisIT/cCysZWMgAA4D40+qcvlxs57Dw/Mn3ccrkhJRsRoKchVjAZK0gMbZkKfV2S2YMutaS+b/5yf9iEboGg9I2u7bV1V0PS5Uwhpjc/Ey19v63gt60blt2tWNnWSgYAANyHRv/02RHEuqWn187zI9ONQ7nckJKNPMFgMGb4duGFF+rZZ5/NZHlyVmjLVMcCX9RJ5UJT3yVpUMiEbsbEbQ+9tinm+ugFXo+aEozGTynrpi4d2umjuj1xg/5Cn1ezJw5pNQt9tH2I3F833DyBTOKeCQCJ4X7pHnbX2azcfjJ1USfLmW3lsfO4Inn0oGdIWy1T0VLfp5x5nPnZyKXXvtx7UOu3fhW27Fr7dl41NSY2Tv2EHl00Y/zAsAsy2jJup/XrLkmatnS9anfsT7h1jV5sAACA2NwQEGYitdnKOqFdPb1uTPHOZF2abBF3IUDPkERSVWJdHLGWXvvxwrfDPn9sSWd9+PlXrcapez3hae7er8tjbO/qEb3N9dBDFfq8qujR1bxhFfq85jh4r0cq6lCQxhEBAADIT24JCLMttdmu1O9sOw52cKpzzQ0NVW5DgJ4hibZMJXpxLFpbE9bb7fFIJZ0LNWpUX1V9tluvb9xupsKHBuceSdeP6Rf2HXsamloF515J15zeR3samswbVqM/II9H5jYfem2TTu51OBcTAABAEtwSEGbbRHh29fRm8jgQkB7iloYqt/E6XYB4KqvqNG3pelVW1TldFEuMrSjVjPEDU1q2LPQ4VFbV6fWN283XPZJ8Ho9WVNdrwerNmjC0TLMnDlF5aedW2xpdXtJqjfOR/UvM2eQNAR1aZs14zeeRQmcsaPQHtGpDfVL7AgAAkO9C61dOBsZGwHv58LKsCY5SrU+3tc1MHAcjIF24pkZTnlyXMzFOqqI1VMHFPei0qLSIdhxWbagPmyiuU6FP+xrDT+4Z4wdKkq5//F9mynuhz6sJQ8tafYdxU1q0tsbseQ/9YzGsT7EkqaJH17BJ6gp9Xte3tLoBLaUAACCUm8b8ZiK1ORvqQpk4DpnInMiGY23ItgyOTHFtgO6W1B+nRTsOoSezJDM4l8JbYd+t3aXA113eRsq6MX492jj3yNek8EnrjJ75RWtrJEkThpbl5W+SDBqaAABANPkyoS51oUPsDkiz7Vi7qaHKTVwboOdri0pk8BztiXI20QAAIABJREFUOBgnc+SybOWlnXXTuOPNQHvuqxvN8edGynq0C1cKnyneuDimLV3fqnHA6pSiXEdDEwAAyGfUhQ6xOyDNxmOdLw1VyXBtgJ6PLSqxWr3izewe2sNtBOdSywUaOvGbz+vRyP4lrS7cRWtr9OamHVFb2qxqJMmmVBur5WtDEwAAgERdKJKdASnHOje4NkCX8q9FJVarV6zjEK8RI3IJtHEnHCVJqt2xX4U+rznO3PiuyO80GOPPU01nz7ZUG6vlY0MTAACAwS11oXzoMHLLsUZ6XB2g55tEW70ibzDRLr49DU1hjw80NoetZz6mvEQThpbp3dpdem3Dl/IHgmHfGRpYG+PPU5GNqTZWy7eGJgAAgFBO14XyqcPI6WON9Ll6mbV8k8gSD4kuzzCyf4kKfS0/r/H/0PXMexV3kiQtWL1Z/kBQPo909YjeYSnyVix74JZlRAAAAJCfWM4L2YQA3WXaWtsx1RtMRY+urQLl0G35g+G97pEBfqqBdWijw9UjemvVhvq8X/MRAAAAmUOHEbIJKe5ZJtE0+NC10hv9Ae1paIo6JiUTE0lETmiX66lFAAAA2SoXx2ozNjt9uXheuBUBepZJ9AYzsn+JFr9Vq0Z/wOwBjxyTEm9bkQF+OmPHK6vqNHPZh1k1Fp2bEAAAcDM76iq5PFabsdmpy+Xzwo0I0PNc6M0q9EZv5RJrxgVtcHtqETchAADgZnbVVZjcF9FwXmQWY9CzTKKTxEXrAY+2rWlL16uyqq7VdiW1OWFdIkIvaEkqL+3s+oCXiUQAAICb2VVXYax2a6H15XzFeZFZ9KBnmURbsNrqAY9seR3Wp7jVduNNVpeoyHLcNO54VwfnUuLj/AEAAJxgV12FsdrhyKpswXmRWQToWSbRG3JbF1JkoC+1tIhF224yY5yirdGebRd0NpYZAADkDzvrKk6O1XbbHECkdh/CGP7MIUDPMsnckONdSJGB/oShZZowtKzVdpNpOYz13my8oLOxzAAAIH/kWl3Fjb3VZFXCCQToWSBar3S6N6xYgX5bPe3xWg5pZQQAAEAq3FiPJKsSTiBAdzk7WxMTCfSTaTmklREAAACpcGs90u5MBbel9cN5BOgul6nWxFg3h2RT6mllBAAAQLLysR7pxrR+OI8A3eUSmY093RtZWzeHZFoOc208FAAAADIj3+qRbkzrh/NYB93ljNbEaOuRJ7omeltY9xsAAADILNYXRzT0oGeBWK2JVrW6uXXMDwAAAJCr8jGtH20jQM9iyQTW8VLhM3lzYCIMAAAAoEW+pfWjbQToWSzRwDqRCSgycXNgIgwAAAAAiI0x6FlubEWpZowfGDfQdcsYc7eUAwAAAADciAA9D7hlAgq3lAMAAAAA3IgU9zzglgko3FIOAAAAIBbmTIKTCNDzhFsmoHBLOQAAAIBIzJkEpxGgAwAAAIBaz5m0aG0NvenIKMagAwAAAIDC50wq9Hn1+sbtWrimRlOeXKfKqjqHS4d8QIAOAAAAADo0Z9Llw8t0Wr/uavQHJLECETKHFHcAAIAsFzmpFZNcAakz5kyqrKrTm5t26ECTnxWIkDEE6IiLP/AAALhP6N9nSWGTWl09orcWrN4cNsmVJP6eA0liBSI4gQAdMTGLJQAA7mEE5UUdCsIC8GF9isMmtfrbui1hj+9/ZYM+/mJvWAC/p6GJgANIACsQIdMI0BFT5CyWqzbUc4MCAMABoY3mXo8UCLY8f6DJr4/q9qid16Pmr5+s++pg2OOqrbsV0KH3z311o/xB0fgOAC7EJHGQ1PKHf9rS9WGzU4bOYsm4GwAAUnP3smqNu3el7l5W3eb7TvvDKzrvgVWtZosObTQ3gnPD1l0N8oc82RwIqn07j/k4IMnz9UOvR/KHBPczl33IzNTIGtHqq26SyfK5/VggdfSgI2YqO+NuAABIz0UPvqF/1eyUJFXXbZQkTR1X3up9dy+r1uwVLa9v3dWg6x//lx78r1PMiapqd+xXoc9rzigdKSJm177G8PcFQ97glcwe9eq6vZry5Dp60uF6bh96mcnyuf1YID30oCNqKrthbEWpZowfyEUPAECS7l5WbQbnhr+t2xL1vcurtoU9bg4EtWpDvVkRX1Fdr0AwKE/UTycuEDwUnBsONPm1aG0NvXFwtcj66qK1NQ6X6JDKqjrNXPZhzPq01eLV3ZH9CNBBKjsAADaIDLolqbG5JTyOTHs/q+KosPe183pU1KEgrNLfHAi26ilPhxHsF/q8en3jdi1cU6MpT64jSIcrjexfokLfodDl9Y3bbT9XE0kjNxrRquv2ms/ZXZ+m7p7bSHEHqewAANig75FFYZV2SSps5w1LZ49Me//bui0qPqxQpx93pDlTu12Cknweqfyozvpg61eSmBQW7jW2olSn9euuFdUtvcWN/oCt52poGvnit2p1Wr/umjC0rNX3hfZmS1J5aWfdNO54W68h6u65jR50SMp8KjsTWwAAclllVZ2WR/kbd1Kvbq161o3HU8eV6/Wbz9SUM4/T8qpttgbnBmPCOKM3zvd1zz3gRhOGlmWs5zg08G70B7Siuj5qhklkb7bdwbmBYai5iwAdGWe0SJJKBwDIVYvW1kSd0G3Fh1+o75FFYc+FprdHS5dNd9x5W6q37dWY44+UzyP5A0EtWL2Zv81wJaPn+PLhZbZPjBYaeBuizdeQyTIhP5DijoxjfXUAQL460OTXEZ0L9ZMx/bS8apvOqjgqbFb3yHRZqfUM7VZr9Af0Xu3OsOXX+NsMtzJWGsrE98y6dLAWra3R6xu3q9EfUDuvRyur6xWQWq18xPUCq9CDjoxjYgsAQK6bMLQs5mtFHQp0cq/DNbRPd53c6/BWrzmh7quD5gRcPo9z5QDcZGxFqR6+6luaPXGIxpSXKBAMmqsgMHs67EKAjowjFQgAkOvGVpTqu4O+EfW1qs92xxzqtaehKVNFDNMcCKr8qM7yeT3yB0WaOxBibEWpehV3UiAkncXnEZ1MsAUBOhzBxBYAgFw3Z+IQ/WRMP3Vod6i6ZWSQxVrDuKhDgXx2DzqPISiP/F9HIPQOAuFCM0B9Xo+uG92PeixswRh0AAAAm0wdV66p48pVWVVnLokkSW9u2qEDTf6woV6VVXVasHqz/MGWieHsHnseyaNgSw96IMgQNCBCW0ubhV7jBO5IBwE6AACAzSInkYpW0Q+dIC7Twbkk/efzPfIHgvJ5pKtH9CbIACLEmgwudM300MnjgFQQoAMAAGRYtIp+pidmi+ylb/46vd0fdG4sPJCN7FihiB75/MUYdAAAABdwS1Bc6POS3g4kweoViowe+WgTSSL3EaADAAC4QGglPxNipdGf1q87PXZAEqxeoShajzzyBwF6DqqsqtO0petpbQMAIIuMrSjV1SN6Z3wWd6+n5T+ppfcv3hruAKIzViiSlHY93OoeeWQXxqDnGCapAAAge+1paJI/0zPEBaWAxORwQJqsqoe3NWM8chs96DmGlBgAALJXaM9ZO6/H7Nm2i0ctwbnE5HBAuiLr4YvW1oS9nkyWq9EjT3Cef2wN0Em1zjxSYgAAyF5Gz9mY8hJ5PR4FovSmJxKzJxrXh26eegOQnpH9S1ToOxRevb5xuxkHMfEbEmVbgM5J6AyrJ6kAAACZNbaiVL2KO6nRHzCfC62weT0JBOBJ9ryXl3am3gBYoKSo0Px3oz9gZrOS5YpE2RagcxI6h5QYAACyW2RGXEXPruZr/mDsGdgNwShviJx8zhcyMdxN446n3gCkweic3LqrwXwuNCulqENB2PsjHwMG2yaJG9m/RE+/vUUHmvykTAEAACQhcpIoSebkU+28HjVHy32X5PHECM69Ho074Sit+PALs2529Yje2tPQxCRUgAVCOyellqyU0IavyPkdmO8BsdgWoDP7IAAAQOrGVpSG1Z+MelXtjv1aUR09MzE0OD+8YzvtOtAsSfIHgjqicyF1M8AmkZ2TkVkpdF4iUbYusxb5hwUAAACpMepVlVV1enPTDh1o8psTUjX6A2H/7ljg08Rhx2rB6s1hAQF1M8AebXVO0nmJRLEOOgAAQBaJlv4e7d9jK0p1cq/DCQiADGmrAYwGMiSCAB0AACDLRFb0Q//9bu0uzVz2od6t3aWp48oJCAAHVFbV0TiGlBCgAwAA5Ii7l1Vr9oqNkqTqupb/Tx1X7mSRgLxjzOh+oMmvp9/ewhKGSIpty6wBAADAXncvq9a4e1fq7mXVkqTlVdvCXo98DMB+LDeNdNCDDgAAkIWi9ZafVXGU+W/jMYDMGtm/RIvfqlWjPyCvhzXPkRwCdAAAgCz0t3VbWj1+/eYzJbX0nJ9VcRTp7YBDAl+veRgISg+9tklSy9rnjElHWwjQAQAAskxlVZ3qvjoY9lzdVwdVWVWnqePKCcwBB63aUK/mQNB83OgPaO7Kj+UPBBmTjjYxBh0AACDLRAYAktQcCDLWFXCBkf1LVOg7FGZ5Jfm/vl4Zk462EKADAABkmVhjWhnrCjhvbEWpZk8cokE9u6jn4R109qBvqGOBT5LUscCnkf1LHC4h3IwUdwAAgCxSWVVnjmmNtKehKcOlARDLxi/26UCTXzv2faGrR/RmDDoSQoAOAACQRVZtqFejP9Dq+XZeDz1zgEtELrW2p6FJM8YPdLhUyAakuAMAAGSRWEF4aVF7euYAl4gcbsLwEySKHnQAAIAs8m7trqjPXzDk6KjPV1bVadWGelJrgQyKHG7C8BMkigDdJfjjCQAAErG8alur50o6F0ZdWq2yqk5TnlynA01+lncCMqioQ4F8HskfZGI4JIcUdxcw/nguXFOjKU+uU2VVndNFAgAALtX3yKJWz/mDwSjvbD0OluWdAPtVVtVpwerN8gcln9ejq0f0pmEMCSNAdwH+eAIAgEQd0bmw1XM9Du8U9b0j+5ewvBOQYaF1e38gSHo7kkKA7gL88QQAAIka2b9Ehb5DVTivR/rpmf2jvndsRalmXTpYlw8vI70dyBDq9kgHY9BdwPjjyRh0AADQlrEVpZo9cYgWra2RJE0YWha37jC2opS6BZBB1O2RDgJ0l+CPJwAASBT1BsDduEaRKlLcAQAAAABwAQJ0AAAAAABcgAAdAAAAAAAXIEAHAAAAAMAFCNABAAAAAHABAnQAAAAAAFyAAB0AAAAAABfwBIPBYKwXhw4dqp49e2ayPADw/9u7+yiryvvQ4z8YZwQuJOFlwCvFWTLi6EgSMfYiq3IRE1ZrMcGQLmlIJVZra1ezyD9kxdQrF0lsVy1NbNpmcZNgo40guqSLZZMah1StonKjNWnpNL6gjnC7HFFIoxEDzJz7B57xzHBenmfv5+X37P39rJW1InPOPvs8Zz+//fz286bK1KlTZcuWLUavJWYCKDPiJQCYaxQzmyboAAAAAAAgDIa4AwAAAACgAAk6AAAAAAAKkKADAAAAAKAACToAAAAAAAqQoAMAAAAAoAAJOgAAAAAACpCgAwAAAACgAAk6Rlx66aXS09Mz8r/zzjtPPvrRj8o3v/lNb595ww03yLp163If56qrrpKvfe1rIiJy9OhRufvuu3Mfc8+ePaPKo/Z/P/rRj3IfH0A6iI+NVSoVueaaa+Tee+8d9e8/+9nPZO3atXLBBRfIpZdeKn//93/v9HMB6ES8bKxRvNy8efNJbc1bbrnF6WcjHafEPgHocsMNN8jll18uIiLHjx+XJ598Um688UaZOXOmXHHFFZHPrrG/+qu/kvb2dhER+d73viff+MY35Ld/+7dzHXPBggXy2GOPjfq3m266SQ4fPiwLFizIdWwA6SE+nmx4eFhuueUW2b17t1x22WWj/nbDDTfI22+/Ldu2bZN/+7d/k/Xr10tXV5dccMEFTj4bgF7Ey5M1i5cvvPCCXHXVVfIHf/AHI/82ceJEJ5+L9JCgY5TJkydLZ2fnyH9/8pOflH/4h3+QBx98UHVA/cAHPjDy/yuVipNjdnR0jCqLhx56SHbv3i3f+9735JRTqDpA2RAfRxscHJR169bJgQMH5H3ve9+ov73yyivy0EMPyYMPPihdXV3S09MjzzzzjGzdupUEHSgB4uVozeKliMi+ffvkqquuGlVmKC+GuKOlU045RTo6OkTkRLD6xje+IYsXL5aPfOQjcu2118rLL7888tqenh657bbb5KKLLpKrr75aduzYIVdeeaV87WtfkwsuuECWLFnSdLjQrl27ZPny5fLhD39YPvnJT8o///M/i4jIoUOHZOHChXLbbbeNvPa6666TNWvWSKVSGRmStGfPHvnSl74kg4OD0tPTIz/+8Y/l3HPPlYMHD46878UXX5Te3l554403ZMeOHdLT09OyDIaGhmTTpk2yZs0aOeOMM2yLEEBBlTk+9vf3yxlnnCH33XefTJkyZdTffvKTn0hnZ6d0dXWN/NtHPvIR+fGPf2xWsAAKh3hZP15WKhV56aWX5Mwzz7QqTxQXCToaOnbsmDz44IOye/duufTSS0VE5Lvf/a7s3LlTbr31Vrnnnnukq6tLrr76ajly5MjI+374wx/K1q1b5cYbbxSRE0Fp7969cvfdd8vatWvlK1/5ijzyyCMnfd5Pf/pT+cIXviDXXXed3H///XLllVfK5z73OfmP//gPmTZtmtxwww2yZcsW2b9/v+zcuVOeeuopueWWW2TcuHEjx1iwYIH88R//sXR2dspjjz0mH/zgB2X27Nnygx/8YOQ13//+92XRokUyffp0+c3f/M2ThrHX09fXJwcOHJDf+73fy1yeAIqD+CiydOlSueWWW2TatGkn/e3gwYMyc+bMUf82ffp0efXVVw1LGEBREC+bx8sDBw7IkSNH5J577pGlS5fKZZddJt/+9rdleHjYvrBRCCToGGXjxo2yYMECWbBggXzoQx+SL37xi/LZz35WPvGJT4iIyLe//W1Zt26dLFq0SLq7u+Wmm26Stra2UQFr1apVMnfuXJk3b97Iv/3Zn/2ZnH322fKpT31Kli9fLtu3bz/ps7ds2SKf+tSn5IorrpAzzjhDPv3pT8vy5cvl7/7u70TkxPCoCy+8UDZs2CB/+qd/KuvWrZM5c+aMOkZHR4dMmTJFxo8fL52dndLW1ibLly+XBx54YOQ1//iP/yjLly8XEZEJEyYYDSe6++675YorrpCpU6dalCaAIiE+mjty5MhIT1nt5x87dszpsFEAOhEvze3bt09ERGbNmiWbN2+W3//935fNmzfL7bffnul4SB8TaTHK5z73OfmN3/gNERE59dRTR4KSiMgvfvELefXVV2XdunUyfvx7z3Z++ctfjhqWNHv27FHHnDNnjsyYMWPkv+fPny/f/e53T/rsffv2yXPPPSf33XffyL8dO3ZMPvShD43898aNG+Wyyy6T3t5eWb16tdF3+vjHPy7f/OY35bXXXpOf/exn8sorr8iyZcuM3ityYjjUnj175POf/7zxewAUD/HR3KmnnipHjx4d9W9Hjx6VCRMmjOqlAlBMxEtzl1xyiTz55JMjnUA9PT1y+PBhueuuuxi5WVIk6Bhl2rRpo+YM1hoaGhIRka9+9aty1llnjfpb7XyaU089ddTfxi6oNjQ0NCog1/77tddeKytXrhz177W9MPv27ZPh4WF58cUX5bXXXpNZs2a1/E5nnXWWnH322dLX1ydvvPGGLFmy5KT5P808+uijMmPGDDn//PON3wOgeIiP5mbNmiWvv/76qH97/fXXWQAJKAnipZ2xIzS7u7vltddec3JspIch7jD2vve9T6ZPny4HDx6Urq4u6erqkl/5lV+Rr371q/Lss882fN/+/fvlrbfeGvnvvXv31l1I48wzz5T9+/ePHLurq0t27twpfX19InLiievNN98sa9eulfPOO0++/OUv1/28er0zy5cvl3/6p3+Shx9+eGQ4kqmf/OQncuGFF9LrA6ChssbHRs4//3wZHByUAwcOjPzb008/LR/+8IedHB9AuoiXo91xxx3y8Y9/fNS/9ff3s2hciZGgw8rVV18tf/mXfym7du2SgYEBufnmm+Xxxx+XuXPnNnzPkSNHZP369bJv3z6555575IEHHpDPfOYzdY/9wAMPyHe+8x0ZGBiQbdu2yebNm0dWTb/tttuko6NDrrnmGlm/fr08/PDD8uCDD550nEmTJsmbb74pL730khw/flxERC6//HL50Y9+JAMDA7J06dKR177zzjujVuSs5/nnnz/pCS8AjFXG+NjInDlz5OKLL5YvfvGL8tOf/lTuu+8+uf/+++V3fud3Mh0PQLEQL9+zePFieeWVV+Qv/uIvZGBgQO6//3751re+Jdddd12m4yF9DHGHlWuvvVaOHDkiN998s/z85z+Xc889V7Zs2dJ0aNDMmTNl9uzZ8lu/9VvS2dkpt956q/zqr/7qSa87//zzZdOmTfLXf/3XsmnTJpk9e7b8yZ/8iVxyySXyr//6r3LXXXfJt771Leno6JDu7m757Gc/Kxs3bpRFixaNOs5FF10kc+fOlU984hOybds2mT9/vpx++unS29src+bMkQkTJoy89vvf/7586UtfavrE9vXXXx+1LyYA1FPG+NjMrbfeKjfeeKNceeWVMmPGDPnKV74iCxYsyHQsAMVCvHzP3LlzZfPmzbJp0ya58847ZcaMGbJu3bqTetVRHuMqLKcKj3bs2CG33XbbyP6TMX3sYx+Tm266SZYsWRL7VACA+AgAhoiXKBN60FF4jzzyiDzxxBMyPDwsF198cezTAQA1iI8AYIZ4iVBI0FF43/nOd+S5556TTZs2jWzxAQAgPgKAKeIlQmGIOwAAAAAACrCKOwAAAAAACpCgAwAAAACgQNME/dprrw11HgCQPGImAJghXgJAfU0T9MOHD4c6DwBIHjETAMwQLwGgPoa4AwAAAACgAAk6AAAAAAAKkKADAAAAAKAACToAAAAAAAqQoAMAAAAAoAAJOgAAAAAACpCgAwAAAACgwCmxTwAAfOrrH5RHnz8oi+d1yrLeWbFPB0ABEFfioewBFB0JOoCkNWus9fUPytptz8iRY0Ny71MH5OufXkCDDkAuxJV4KHsAZcAQdwCq9PUPyvqde6Wvf9DotWu3PSN3PjEga7c9c9J7Hn3+oBw5NiQiIkeODcmjzx/0cs4AyoO4Eg9lD6AMSNABqNEq4R6rVWNt8bxOmdjeJiIiE9vbZPG8Tj8nDqA0iCvxUPYAyoAh7gDUqJdwNxu+uHhep9z71AE5cmyobmNtWe8s+fqnFzBfEYAzjeIKc6P9I6YDKAMSdABqtEq4xzJprC3rnUUjDoBTY+MKc6PDIaYDKDoSdABqZOkdobEGIDbb0T8AADRCgg5AFRJuAKmxHf0DAEAjJOgAkmIyz5O5oABCYm40AMAVEnQAyTCZ58lcUAAxMPoHAOAC26wBSIbJHrjskwsAAIBUkaADUKOvf1DW79zbcP9zkz1w2ScXAAAAqWKIOwCvTOeDmwxNN91WjbmggF+s8wAAgB8k6AC8sZkPbrpNkck8T+aCAv6wzgMAAP4wxB2w1GoYNt5jMx+coelAGljnAQAAf0jQAQvVnqM7nxiQtdueUZOka31oYJN0V4emr1nUZdwjp/V7A0XGwzQAAPxhiDtgwXQYdkiah5vazge3GZqu+XsDRcY6DwAA+EOCDlhYPK9T7n3qgBw5NqSm50jjQ4NavuaDa//eQJEVcZ0HFr4DAGjAEHfAQpZh2L6VdbhpWb83yonpHCdzWSZapy8BAMqHHnTAkraeIw3DTVv1PPnomdLwvYEQmM5xMtdl4nJEDj3xAIA8SNCBAoj50KBVQ9mkIZ21QavtYQngA9M5Tua6TFxNX2oU70jaAQCmGOIOIJdWWy61+jtDS4Hmyjido9Xwdddl4mr6Ur14R4wDANigBx1ALq16nlr9nd5BoLmyTecwGXVTLZOtewacfa6LETn14h0xDkhXX//gSJzpPf390v+f/zXy/99851gpYjLCI0EHkEur5KHV3zWujA9oU6bpHDYJ7ZMvHpIjx4bkyRcPBZub32q4+kVzp4mIyOqFXSN/N4lxDIMH9Kgm5o8+/7ocH66IiMhDz743ArD6/1kXBD6QoCOXEA0KGi36tUoemv29bL2DAJozfWgXo2e6We9+7d8mtrfJ6oVdImIW41gIENCjtj62cuTYkGzdM0B9hVPMQUdmIebVMXevHJb1zpKNK+ZzgwNgPB88xtz8ZmtqNPtbqxjXaq0OAGH09Q/Khp17jZLzqkeff532KZwiQUdmIRoUNFrCi73fcuzPBxCfyUM7Vwu72Wj2UCDPA4MyLgQIaNPXPyh/dNe/yP/7r3es3nd8uCJf/+Fzns4KZcQQd2QWYu4w85PDij3MMvbnA0hL6Ln5zYar55muw1QfIL5Hnz8oR4eGM7333//z59LXP0jdhRMk6MgsRIOCRktYsVcbjv35ANBKqzU1RGRktJdJ/KpdZ2XjivnuThSAlSkT2jO/d7gitFngDAk6cgnRe1Gm1YtjczViIevCfoyYAJAy21FAjBoC9KhuoZbV628ddXQmKDsSdJQeq8S/x8WIhTwNTkZMAGEQ9/ywHQXEqCFAh77+Qdn9whu5jvGDf3+VYe5wgkXiUGqsEn+yvCuq513YjxXdAb+Ie/7YLvZm8noWzgT8yzP/vGpouMJixnCCBB2lFnKV+LI0snyuRlyWMkQaUr0e2R3DH9uV5Vu9nocpQBh55p9XdbSNZ2oenCBBR6mF2tqmTI0sX1sflakMoV/K1yNbevllMwqo1VQDHqYAYbz5zrHcx+g5bTKj/+AECXrBpNqjE0uofXTL1sjyMUy9bGUI3VK+HmPsH46TmTzk4WEKEIaLHvRnX32L9jecIEEvkJR7dGIKMeeZRlZ+lCE0Sf16ZK2H+Ewe8vAwBQjDRQ/60aHhpB7WQi9WcS8QVoPVK/XVyTWs+Jx6GaJYuB7LyVUs7OsflP2H3pboFXlnAAAgAElEQVSOtvFydGi46UMethoF/GMOOjQhQS8Q9pDWLdVGls22ac0ary4atqmWIYqJ67FcXO1ZXnucjrbxsrSnU1Yv7OJaAiLKuwe6iMivnTWdegwnGOJeIAyFQ61m6xHYrFVgOte22RQLpl8ASJ2rdQe27hkYOc7RoWGZM21S04eerCsDpKH39PfHPgUUBAl6wTCvECJuk2XTubbNGq8pL6gFwF4RE0sX6w709Q/K7hfeGPnvZkNiebAJhNHXPygvHvxF7uO4mMcOiJCgA4XkMlk2HZnRrPGa+oJaQGwpJbxFTSxdjFJ79PmDcnRoeOS/mw2J5cEm4F9f/6D80V3/IgOH3s51nFPGj6NtA2eYg46oNCw+VkTN1iPIslaByVzbZotmsaAWkJ2ruc+hFHnB0rzrDoyNv6sXdhm/lsY/4N7Yh2ZZLZ43ozBxDvGRoMOIj0TaV6OTpD9estys8cqCWkA2qSW8sRLLFGK/TfzlwSbg3+J5nXLnEwO5jnHK+HFNH7YBtkjQ0ZKvRNpHozO1niZTWRqeJMtAMaTWkxojsYwR+7M+ELCJv8RqwK9lvbOka9pEGTh0JPMx6D2Ha8xBR0u+5sH5mJdcxDl72udzpjQ3FkhR6B06XNTp0AuWho79tXH5j+76F/ndv/2/xEAgUf/r8vNk/Lhs7+1oG0/vOZwjQUdLvhb48tHo9HWuMZNQzQ8dtD88AIoiVMKbap0OvRBlbVw+OjQsDz17MKnyAvCeZb2z5P9cdaEs7emUrmmTWr5+/DiRD85+nyzt6ZS/+cwF9J7DOYa4o6VYc5azHs/1ucYeNq95eGveaQopzBlF+rjOzKU2370q9LD62rhclVJ5ARittj365z94VjY//IIMVU7MLx+qVKRSOfG68SLyh5ecJV/49Z54J4vCI0GHkZTmwbk+19gNVs0LBeV5eBD7wQfKgevMjuYHgq2EvE9V4/LWPQOy+4U35OjQcHLlBaC+L/x6j5w/5wMj7S4Rka17Tiwkt3phF/cQeEeCDrSgocGq9QFJnocHsR98oBy4zuxofiCoTTUuNxuhwegNIE1j213UX4REgg60UJYGa4gViWtpePCB4uM6s6f1gaBWjcqL0RsAgCxI0AEDRW+wxmhIluXBB+KKfZ3Rg1pejN4AAGRBgg6USKNkIVZDsugPPqBDrOuMHtRyY/QGACALtlkDAoq5XVuz7ZNCb1EElIHmLRLhX+j96wEAxUAPesIYOpmW2L1pzXrJYw8DBoqIHlR7RbuvMUoIAGCLBD1RsZM92Is9H7FVskBDEnCrjA++8iTY3NcAACBB985Xb0DsZM+Uq+9fhF6V2L1pZUwWgNjK9OArb4Id+r5WhPsKAKB4SNA98tkb4CvZc9lgcfX9XZZjzAaZhgS5TMkC0kKy5EbMcsybYId8iElvPQBAKxaJ88jnAkE+Fp9ptohYFq6+v6vjuP5+WSzrnSUbV8ynIQjU0FA3iyB2OeZdbDLkomos4AcA0IoE3SPfK2O7TvZcN1hcfX9Xx6FBFlbMFeuRFuqmG7HL0UWCHeohJjtXAAC0Yoi7RxqGNNtwPbzQ1fd3dZzYc8DLhOGjsEHddENDOaYyjSa1+zMAoDzGVSqVSqM/rly5Unbs2BHyfBBZ0eeBuvh+RS8jF9bv3Ct3PjEw8t9rFnXJxhXzI55RGMTM7LTXK+3nV5XKeSK7ovzGxEsAqI8edIySSu9HVnm/Hz3DZjT05CEtmmNPyHqfN/nSXI7Ij3sQABQfc9ABC7HneKYi5GJPgG+h6n3sRd5SFXu9i5Cfzz0IAIqPBB2wULaFhfI0PFmxHkURqt7HSr5iJ7h5xH6oEfrzy3YPAoAyYog7YMH1wkKu5hL6mJPIUErghFALisWYGpJ6Pc+793pqn8/idgBQfCTogCVXczxdNYx9NbBjN3wBTULM7Y6RfKVez2OvdxHj81lnAACKjQQdiMRVw9hXAzt2wxcoo9DJV+r1PHaPcuzPBwAUDwk6ctOwdVmK2864ahj7amDT8ASKL0891xJ3Y/cox/58AECxsA86cqkdXj2xvS3T8Oq8x3BxDrFonoOeEi3fn5iJsnARtzXUWcRDvASA+ljFveTyrt7rYtXhvMdwcQ6xVjF2tdJ5mVdMj72KM9KR8mrl2uSJu9RZAAAaI0GvkUrjzdV5umgkudjyJe8x8r6fxmLa2BcYJqjnbuWJu3mT+xTu0ymjjAEgLuagvyuVrWZcnqeLxcVczFPOe4y873e1yBpDNuNIfZErhJH6auWthI4/eeJu1jqbyn06ZZQxAMRHgv6uVBpvLs/TVWLjYoGcvMfI834X5UCjJh4Ws4OJIj/IiRV/ssbdrHU25H26rA9cU2kLAUCRkaC/K5XGm8vzJLE5wUU50KiJi1WU0Yq2eOcyAUwx/mSps6Hu064feKSU7KfSFgKAIiNBf5e2xlsjrs+TxOaEvOVAowbQz2W8y5N0uU4AyxJ/Qt2nXT7wSG10VSptIQAoMhL0Gqkkq6mcZ5nQqAHc0d7jmDfpct3jXab4k/X+Z3NNuXzgUZbRDQAAd0jQA9He4ER+rho1Lq8VbdedtvNBPj5+zxR6HPMmXT56vDXGHy1srymXDzzKMroBAOAOCXoAKTQ4NStig7ERl9eKtutO2/kgH1+/Zwo9jnmTLq093kWto1muKVcPPLT+1gAAvdgHPQD2aT4hy96qefcuTm0/V5fXirbrTtv5IB9fv2ee/bVDqSZdaxZ1ZU5il/XOko0r5qtK2IpaR2NfUxp/awCAXiToAcRuHGiQNdHO02DMk9zHSuxdXivarjtt54N8fP2eLpLfEIqYdLn6TbU9GE3lmgIAQESkbcOGDRsa/XH79u2yatWqgKdTTN2dk6XntCkydVK7XL+kO+nGQV//oNzx+MtyfLgi3Z2Tjd93x+Mvy9MDh0VE5PhwRaZOapel58xs+b7jwxXZ1T8ox4crMrG9Ta5f0m38uVk/s5rYPz1wWHb1D0rPaVOsvmseLq8VV8fK+pv7Oh/NyhQzff6e3Z2TZek5M4PVu6KyrbsuftOY8bMZril9yhQvAcAGc9ADKcKqqHnmJ2ads5ln/l7Wz4w9B9bltZL3WK7npBahHuA9/J56Za27eX9T2/hZpjVG8qKsAKAcGOJeInmHHeYZbp5niGHWoaRZPzPrME9twzpdKOqcVCAFeWJKrLprEz/LtsZIHnnLCgCQDnrQS8JFT6iLlYtDP/XP8plZeu2LuvoxWwQBceSNKbHqrk38zDNaqagxt5HYI7sAAOGQoJeEi5t7mbaLsU3si9p4KtNvDmiSN6bErLum8TPPQ4SixtxGeFgKAOVBgl4Srm7uzDmtr8iNJ35zIDwXMUV73Y2xxkiqeFgKAOUxrlKpVBr9ceXKlbJjx46Q54MW8iwSwwIzflG+IGbGp6UeujiPmN9FSzk2k8I5ojHiJQDUR4KekNo5dxPb2wo55y5LgyvVRlrW8071+5YBMTMuVzEybx1LPVanfv6uEGv9Il4CQH2s4p6Qoq+onWWV2qzvib3yb9YVeVnJF2jMRYx0UcdSj9Wuzl9DrM2KWAsAiIUEPSFZt/+KxbZxlqVRaPseLY2urA3g1Bv+gE8uYqSLOpZarB7LxfnHiLUuHwgQawEAsZCgG9LQE5BnL/HQsjTOsjQKbd+TtdHl+vfP2gBOveHvmoZ6CT1cxEgXdSylWF2Pi/MPneC6fiBArAUAxNK2YcOGDY3+uH37dlm1alXA08mur39Q7nj8ZTk+XJHuzsnOj7122zPy9MBh2dU/KD2nTXH+Gaa6OyfL0nNmBv982/K94/GX5emBwyIicny4IlMntcvSc2Y2fU9352TpOW2KTJ3ULtcv6TZqFNq+5/hwRXb1D8rx4YpMbG+T65d0t/w+Pn7/LN81z/uqfNaT0DTVy6qUYmZR5Y2ReeuYq/Mw4bM+5z3/LLG2EZPvmeWe00ztdXDR3Ony/GtvFiJuakK8BID6CrHNWu2CNvc+dcB5j0XZ9lsdK0v5Zt0CJ8u2QDbvybJVja/fP+sWSFnf57ueNPtcHwstlb1ewh/t25OJmNdnnwudNTu2q23BTL+nj23Xqp8TI24CAMqrEEPcfQ+lK/tQtyzlq3mI57LeWbJxxXzjcyrK7x9jTqXPeahF+V2ALEzqs8/6Z3Js21hbj2nc8nXPcRk3Y03JYSoQAKSlEAm674a66xt/ajfprOXronGmge3vr7UxFCOh9flQQPNDICAPkxhiUp991r9QD/xs4paPe46ruBlrgVItC6MCAMwVYg66qzmDrT7DxXzCWPNm83xuiPLVzvT31zgvuirG7+hyHmo9sdZkaCSVmNlKyLUKirQuQjOm39M0hpjUZ5P6l7X8fdftqtj3H1ef73qOvPbPNVGUeAkArhViDrpIGnMGReLNm837uVrK12Y+pc+5l41onxcd+nd0NQ8V4YRcqyDWugih2XxPmxjSqj63qn95yt/k2K7qfez7j4vP9zFHXvPnAgCyK8QQ95TEmjerdb6uzXBwm6F6WYb1uRianqectQ6Nr8p6fkWZ6lAWIdcqKMte0zbf03Wsblb/8pZ/o2MzrPpksabkMBUIANJTmB70VMTqUdTYk2nbe2PTs2Tbk+2qJy9rOWvvSdR+fnAnZI9bWXr3bL5nyFjtq/y1jySKJdZIgNgjEAAAdkjQIyjyTdpmWKNtI86mMWnb8HTZoMxSztobtNrPD+6ETBBDfJarodZ5jmP7PUPdI3yVv0n8jTEFCQCAFJCgJ0hrw8a2l9U2ibZpTNo2PGP35OX5/BDXQ+zyQVghHyL6/CxXIz9cHEdrL6br86rGo2suPlPefOeY87nvLs5N270TAIBaJOiJ0TzU2LaXNUvvjU1j0va1pufio5GnfWi8xikSQCuuRn4UfQSJy1EG1Xg0sb2tYTyKUZ6a750AANRikbjEhF5UyWZhsCyLG2laQMzkXHwufpSlLEJeD5p+K8CEqwXXtC6y6YLLmGYaj2KUZ1kWJAQApI8EPTEhGza2DbeYq8WGWgFdWyOvyIkDkJermKRxJWxXMc9lTDONRzHKk1gJAEgFQ9wTE3KocZZhiL7mMzb7rjZDF/MO5cwyF9vnvEeGngPNuYpJmuaQZx2uXS8WuYxptuuE5C1Pm9hKrAQApIIEPUGhGoqxFwYzbYSaPkhwtdCTTSMvxLxHTYkDAP+axbxGSWujWOQ6poVKvLPEVmIlACAFDHEviSzDIX0NQzQ9F9fzGV0N5bSZi61tSDyA9DWKec2mJTWLRZpimunUKmIrAKCoSNBLIM8iQK4XBrM5F9fzGW3mILqa36l13mOoOfvazwHwwfe13SjmNUtaTWNRq3P3HdO0LTQXOk4RFwEAbRs2bNjQ6I/bt2+XVatWBTydYunrH5Q7Hn9Zjg9XpLtzcrTzuOPxl+XpgcMiInJ8uCJTJ7XL0nNmqj+X7s7J0nPaFJk6qV2uX9Ld9CFBd+dkWXrOzKblbHq86kOEpwcOy67+Qek5bUrm38/mO9R+vs/rxuX3S/kcfCBmIuu1bVPvGw0BPz5ckV39g3J8uCIT29vk+iXd0t05eeT1F82dLuf+9ykNY5HJuWeJaTYafYexfJ+HSPg4VdS42AjxEgDqYw56DZeLeWnaczXEXHLTsrM9lzxzBuudk8nxXO/Ra/MdQlw3GvZ01nAOSJfPhRfzHjvLtW270GWj19abT266N7nNufucyx16oblmQscp4iIAQIQh7iNc72+taX6c7y1tbMrO1bm0GgaY5/eMMRS+KsR1o2HYvYZzQJpcx2rXx85ybdvU+1avHTstyebYrobB5+V6alVWoeNU7LjI8HoA0IEh7u9yPQzcdJheKCZDwLOyLbu852IyDDDP7xljKHxViOsmxNDQFM7BhzLFzFh8Ttlxcews17ZNvbeNETavNzn3vHFPy9QvE6HjVMy4GGN4PfESAOpjiPu7XA8Dd7Xnqs+hnK64LrtW39lkGKDJOTX7nBhD4aufG2KvXg3bDWk4B/jjK3b5nLLj6ti217btsG6bGJHl9c1ekyfuaZr6ZSp0nIoVFxleDwB60IP+Lh9PrkP0FPti08vhsuxMvrNJj1Crc3JRtr56u22vm5R6pEKIWR5lipnN+IxdPnsZXccym+vQpt7bxgib17c67zxxL9aCpcTI1mKM+iNeAkB9JOg1fA4DzyJmY8a2ce2q7Ey+s2kjutk5hR7K6quBGOMhjubGbuxVkMsWMxvxHbt8xmoXx459HWblexX3GElgqr9FaDGG1xMvAaA+FolTLNaCMb4WKjNZgMZm7/M8iwiZfI7J+Zqch89FrUIvRujzu7igaXHGMou92FVsea5D04W6TF5nu+jX1j0DRuedNf66WCTU9juFjAmpL7KmZXE+ACg7etAVi7VgjI9eDtNejDzfuVHPbr1/DzEEvspnb2LoHqlYozpMxV6ckZh5QlEXATSV9To0jTsmr7ONYX39g7L5kRdlqFIREZGOtvHyh5ec5XwBuDwjFLLE5VAxgZ56e8RLAKiPReKUi7FgjI+FymwWoGn0nZstOtVo8aFWewbn3Q/YhM9FrUItKlfl87u4ELo80FiZFwHMeh2axh2T15keqxpX9x96W44ODY/8+6+dNd1q8betewZk9wtvyNGhYW8LwGWJy6FiAousAQBcIUEvuKwrKbtuXOdN7Fqt/tuocdSs0dSsbFwmor4biCEToRQS4DInhiZS2BlCk5Ax1DTu1L6uo2287D/0tvT1D476PJNj/fkPnpXNj+yToeGKdLSNl4628XJ0aFgmtrfJ6oVdRudcG5urfCWoWeNyiJig/eElACAdDHEvsFBD7kyHNeYZ8tpqaHWjYYyN/r1V2ZjuB2yz0r3JsE7NC7BVaVtMURPtMZNhuHZCl5fNApg9p02Rt945JvsPHZF9B39x0vmZTOP53zv3yvCJEe0yVKnI/zx7hvzPsztHXm8Sj2pjc5WvoeSap05oPjettMdLAIiFHvQCCzHkzmZf21a9GHl6tJf1zpJrLj5TdvW/Kh/rPW3U+y+aO01ERFYv7Br5d5OyaXa+PvbzDbVHMD2o5cUwXDuay6s6Qujo0IlFz+qdX7MYtnXPgAzX/Pf4caNjpGk8Gtub/2tnTR91nLHyxh/NI2Q0nxsAIB2FXMU99ZVUXQmxkrKrFXJbrQ7eavXfvv5Buf2xl+TZwbfk9sdekr7+wZFjPvTsQXnyxUOjXp+3bHysDBxitWHtq7DDr7Kvrm4rdHnZ1s+s59fXPyjPDb456t96T39/y2lD9dTG5r/5zAXyt7/7P1o+2CT+AADQWOF60EP1QqYgxHxhV/Pu8vZoN2pMNjpm3rLxMd8wxBxGzT2C8C+FNQRquRjtkecYocvLtn6anl9tGYjISXPGO9rGy+c/Om/UexrFo3rladpzbLtwXQrXKAAArhUuQScBGc33kDtXDdi8yWmj97caFp+1ceij4Z7SA5W8aIDHk8owXBcPW10cI2R5ZamfJlOHasvgornTRiXnPbMmy7pfP6fuA9Gx8ShveZp8v1gP2YlJAAAtCrdIXOx9kFNY5KsV2+9gsmhYq2PaLLBjuq95lkV7bBaFcvG9sxwzDw0LGRV5obIUY6ZWrRaGDHWMkOrVzyz3lNr3PPr8wVFlcOaM/yaDP//lyD3yy1d8sOlidLXxKG95msSfGL9ZijGpCG0N4iUA1OetBz3W0+iYQzh9PfkPWZYxFz8z6amy3de83r81K0+XIzB89gTlHbYbs4eIUS4w4WK0h5YRIzZq62eWGDL2PddcfKZMbG8bKYPVC7tk9cIuefT5gzJlQvvIdCCTOuiiPFvFnxi/WWoxial8AFBsXhL02DePrAlI3kTYx00+dFn6+A4uj9nqWK1+w1bl6bJx6KvRF7t+5ZVi0oTwXDxsDf3A1vXD1CwxZOx73nznWMMysI0jIcozxkP21GJSag8UAAB2vKziHmI1atdcrC7rY8Xf0GXp4zu4PGazY5n8hq3Ks9Vq8a7ONY8U61ctl2WMYlvWO0s2rpif6xpxcQwTpvcQm11GssSQeu+pVwZZ48jYY/nYNSXLb5bnPFKLSezGAADF5mUOeux54Fm4mPfmY35v6LL08R1sj9lsbl2zY5n8hibl2WoeuOncP1/zvVOsX2P5nmsfC3Mqy8sk/tjOdc4SQ0zf4yKO5Jm77XIOtYs55D5ikq954hrWEnGBeAkA9XlJ0FO8ebhKelzf5GOUpc13sElWTY5p0tBqdCzT5DtPeWZpYLtu9MWsX0VYmMgnGpzFYXutm8SfLA+Cs8QQk/e4iCNZH2y7XpRN42KAvheeK8JDTuIlANTnbZG42AtR2Yq5uFwrsebUmxzf9VzoPHPrTH/DPNemr3UGbH+nGPUr9bnvCKMI21VludZN4o+2uc5540jW7+M6jmorVxHmiQMAsivcPui1bBuKqT1UaCZEMuWjAZK3oZXnNzS5Xlw3BFNKemlwopWUrudmsl7rreKP5gfBWWT9Pq7jqMZy1fjQAACQBq8JesyelKI0FLMKkUz5aICYNrRsri2T19psBeeyIZhS0kuDE62kdD034/NaL9KDYBH7rSyr73GdUGsrV40PDQAAafC6D3rMBLkoDcWsQiRTWRogJslyq4aWzbVl+lqb68VlQzBk0pv3gRkNTrSi5SFOka917VMIbB52ajx/l8rwHQEA7nlL0GMnyKYNRe2NnaxCNTBtGiCuHtrYXFumr3WZWNhcU6F+J1dlT4MTzWhIbIt8rY/9btdcfKa8+c4x52VdL4aZxjUX9/6i3pcBADDhLUGP3ZNi0lCM3ctfPQdfDRFti8u5emhjc22ZvtZVYpF1cSnf113sB2Yoj9iJbWrXuk28HfvdNj+yT4aGK0axxvRz6sUwETGOa3nv/RruywAAxORlmzUR/1tBmWyB02obEtOtWXxtLeV7GxZt5+RyKzvTa8v2tXm3rQmx3U+W67EIe6e3omELOLYNik/LtW5yPdrG29rv1jZOZKjy3r83izU2n1Mvhr1y6G3juJb33p8nhrqOARpiSpERLwGgPq+LxPnqSXH1hN3kSb/Pp/kae3p8npNNL7XJIkOm55X3OrTp4fI9ciTr9ahh6LFP9LqhSsO17mPti6qL5k4TEZHe098vtz/2klGssfmcRjHMJq7liblZY6jrGEBMAQDEkuQ2a1kaNfWSLJOGnM+ENfY0gBjnZNJw09Qwsj0X38lB3n3ii9rA1PiwC/HEvtZ9rH1RG4smtrfJ6oVdxrHG5nMaxbBQDz2yxlDXMYCYAgCIJckE3TaJbJZktWrI+d5uJ3ZPj6tzcjlv3dUDGBevz3IuPpMDjQ91NKBczKSy+FYq59mIj7Uv6sWijSvmexlBUy+G1fs3X79TlhjqOgYQUwAAsXibg+6T7Ry3PHPafM+ldzHv2TXbc3I9b912Dqnt59u8Xst81irf12OqtJSL1pgponPNi3pSOc9mfKx9kTcWub7XaPudXMcALTGlyDTHSwCIKckedBG7J+x5n4THHi6pneuhgLa9Pbafb7vnuY9RDnl6nlK/HjX1upVJKkN2tZyni73UXV/fmkZcafmdavko89jfyaXUR6YAQFmMj30CIVQbNmsWdZVyoZe+/kFZv3Ov9PUPejn+4nmdMrG9TUTE2VDAZb2zjIdv2n6+7ettzsVEtefpzicGZO22Z7z9LhqV+bvH5qOe+qDhPLVepy5ikav7gYbfqSh836Orn6HxmgYAnCzJIe5Ztj7ROJQ8hBDDELMMBXS5fY3t58ceuhhiKzaXXP5WqX13W1pjpkj8696UhvMs6nXq8n6g4XcqglBTBTRe05rjJQDEpGaIu+nQKx8rfBd52FeoYYg2QwF9/Ia2QxFdDV3Mcu2ktPiQ698qpe9eRKkM2Y19nkW9Tn1MR4q1gGdRhLpHF/WaBoAiUjHE3WboVb2bWbPjtho2lsqwr6xD4DQOQ7T5DTXLeu2kNOXC9W+V0ndHeaVwnWa5J4S+H9jGyFTuxy6F+k1SuKYBACeo6EG3eYJs+hTYtOdP40I3Y+XpxdS2sJBItif5GntVUtiTPG+5+eh1id07CpjIe536jFlZ7wn17gc+z9PnAp5ZabuXhLxHE3sBIA0qEnSbJMD0ZmZ6o09h2FfeRkvWm7LP1bZtGiRZG6NZzt/mPdqvHRfD0zU+4AG08zGNp5arh4O+z9M2RvqOqb6/b1YkzgCAWioSdNskwORmZnqjTyEBiZEI+m7I2DRIsjRGs5y/7XtCXTtZH5S46o2i8QjYyVv3WtV5V/cE3z3WWe7tPmNqCiPmAABQkaCLuF9sxuZG7yMBcdn7HOMhgqaGTJbGaJbzz/Ie38lrngcl2nv4AV9iD2POU/dM6ryre0KIGBFjAc9Gvz8xEQCQAi/brLnclqn2mLZbkcTaWs3Htimhv8vx4Yrs6h+U48MVmdjeJtcv6Y62RV2W7XyynL+v75ynPuTZGodtkMJj26D4Qm1b1UyrutcsJpjWeRf3hNhbZPrQ7PcnJupCvASA+pz3oPsaGq2pR7eVlM61kaw9ND7nrdv2wtiev4+RCnnrQ94eH4anw7XYvdOtaIm/jepeq5gQupfXJkZoncNdq9Xvr33EHAAAzrdZ87WFlsbtwhpJ6VybWdY7SzaumG/deNOyRY7t+Wd9TzN560P1oQFb40ADbXW8Hu3xt1VM0FznU9giU/tWcgAAtOK8B93X0/8UFnOrSulcXdLSc6WJi/pALzi0SKGOa4+/JjFBa51PYQ536N8/hToBAEiL8wTd581Ra6OlnpTO1ZW8CyNpbVDnoT1ZAGykkKCJ6I6/IWKCli0yTbk+35C/fyp1AgCQjnGVSqXS6I8rV66UHTt2eD+JoiZnGoQu26x7j1fnNU5sb7Ma1pnC90N5hIqZMRWpDph+l5S+c554GkNq51tPSteHJmWIlwCQRfRt1kwWneHml02MBfg0NKcAAA1HSURBVH2y9FxkHSKY5/vlfZCgdYEkwLcYvdM+7gGm9Tm1ep/akOvUzrcezSM2AADpcb5InK1Wi86wAEt2KSzoI5J9UZ+s3y/rNZVKeWrR1z8o63fupc4iF1/3ANP6nFq9D7VImqv6rX1RPwAAQoueoLe6OafWONIklYZP1lWLQyf2qZSnBjxYQz1ZkrrYO4OkVu9DrALvsn5rXrUeAIAY2jZs2LCh0R+3b98uq1at8noC3Z2Tpee0KTJ1Urtcv6T7pJvz8eGK7OoflOPDFZnY3ibXL+mW7s7JXs+pKFqVrYm+/kG54/GX5fhwxWu5d3dOlqXnzLT6jKzfL+s15aI8GwlVzqHO447HX5anBw6LyInynjqpXZaeM9PVaaoVImamqprUPT1wWHb1D0rPaVOMrjFf9wDT+uyz3rsytt7axlPbeu+6fmeJ/0gf8RIA6lOxSFwrZZyDruE7F2HxnkY0lG/tueQtZxffx+XvXeRrpxktMVOj9Tv3yp1PDIz895pFXbJxxXyj92qqr9rkrWtZ3l/W+g23iJcAUF/0ReJMmC7AUpRGnJZFiYqweE8jmhb1yVvOrq4Xl78328thrDzbUWmqr9rkrbdZ3k/9BgDAn+hz0F0p0pxXLfPu8869ZJEwM3nL2dX14nqu7bLeWbJxxXwa7xCRYsw19hXT8hw3b73N+n7qd1jcTwGgPKLPQW/GZl5ckea8apl3n2fuZdb5pmWUd46rq+slhbm22sWOmdqlPNfYV0zLe9y89bZI9d71Wh6a1gYp4v2UeAkA9akd4m47bDfP8EltNA0fzDq0tMjD433IM4TX5fXCUGKgPl8xzcVx89bbWPXe5bQ011PDtEw1E+F+CgBlo3aIu+2w3SIMn6yV+vBBV8OlUx3WF/q8U79eTKR6LaAYfG23lto2bq64npbmemqYlqlmIuW9RgCgrNT2oGfpEaf3Tw8Xvbp5ezBiLRqoqeelKChTxOZrZJOmEVMhue4Vdj2KTtOovLJeIwBQVmoTdK03pKKsFB9C3gcmeRpwMZN7hiO6R5lirBix2NdD4DI+XHadALtuM2hrg5TxGgGAslKboIuEuyGZNvRS7sVL8cFCngZczOReU89LUVCmqJVyLMYJPhJg120GkmIAQAyqE/QQbBp6qfbipdqYzdOAi5Xc5z1v1EeZolaqsbgqxQemY7n4DiTAAACcrPQJuk1DL9VevJQbs1kbcLGS+9rPT6WMU0GZoirVWCzi/4FpiOQ/1Ye+AACkoPQJuk1DL9VevJQbs3nESO6B0IrQG2sr5Trq84FpqMQ55Ye+AABoV/oE3bahl2IvXsqN2Vhi/85lTLpgr8w9mbHraFY+H5iGSpzL+tAXAIAQSpmgj01+Um3o2XD1HUkc/fOVdPHbFQ89ma1pu+59PjANlTjz0BcAAH9Kl6CXuccpLxdlp62xrJGPpIvrvpjoyWxO63Xvc7u2UIlzGR5sAwAQw/jYJxBaveRHq77+QVm/c6/09Q/GPhURyV921cbynU8MyNptz6j5XtosntcpE9vbREScJV0+r3tt12mZVBOyNYu61CSfmqQU711Z1jtLNq6Yb7WtJPXXL8oYAGCjdAm6j+THB43JbN6yK2NjOQsfSZev617jdVo2tglZWfT1D8r+Q29LR9uJ25zmeB+LtvpbxERWWxkDAPQr3RD3VObOaZxbmrfsXA7H1TRU3se5uB4+6uu613idIi4NdbN2aHtH23hZ2tMpqxd2WZ2Phu/hm6b663M6QszfUlMZAwDSULoEXSSNuXNa55bmKTtXSaKrhpyLRpvWOa71+LjutV6niENLfahNio4ODcucaZOsk/Os3yOlxF5T/fWVyMa+JjWVMQAgDaVM0FOQSk+/LRdJoouGnKtGW9l7R4p6nSIbLfUhb1KU9XvETgZtaaq/vhLZ2NekpjIGAKSBBF2xFHr6Y3DRkHPVaKN3hOsU79FSH2JNxwmVDLrspddSf30lshquSS1lDABIAwk6kuOiIeeq0UbvCPAeTfUhxnScEMmgtl567Q8LNF2TAACYGFepVCqN/rhy5UrZsWNHyPMBgklprijSQMyE77iyfudeufOJgZH/XrOoSzaumO/8c0zUPiyY2N4W/WEB0kK8BID66EEvKZJThh0CIsWIBZq+g++4omHIdlXs+d0AABQRCXoJaRsiCSAOTTsiZD1e2eKZpiHbmh4WAABQFCToJUSvhw6aev1QTpp2RMh6vDLGMy2jfzQ9LAAAoCjGxz4BhLd4XqdMbG8TEYne69HXPyjrd+6Vvv7BaOcQQzUJufOJAVm77ZnSfX/o4CIW1EuQ8xh7vK17BprGCE3xrIyW9c6SjSvmk5wDAOAIPeglpKXXo2xDU2uVsdcP+mjaEaHe8TraxsvuF96Qo0MHG8YILfEMAADABRJ0D1IYuqxhiGSZk1TXSU0K1xx0yhMLqtfdNRefKW++c8zZVlvVhHv/obfloWdP9Mg3ixEa4hkAAIALJOiOlblX2FaZFxhy2evHNYcYfG6xVU24+/oH5ckXD5UyRgAAgHIiQXeszL3CtnwMTfXRk+yrd9pVrx/XHGIIcd0xfL3cGBkEACgjEnTHytIr7Krh5HJoqo+e5BR6p8tyzcFciMQm1HUXY/h6URPDlL6XttibUtkBANJGgu5YqB6fmI0FbQ2nKh89ein0TtPLiFqh6mdRrzut8S2v1L6XptibWtkBANLGNmse+N52JvYWXa63VXLFx3ZLqWzhxFZHqApZP4t43YUsv5DbTGqN241oir2plR0AIG0k6AmK3VjQ1HCqVe3RW7Ooy1kPh49jpqSs+9SnLGb9LML1Eqr8Qj9o1Rq3G9EUe1MrOwBA2sZVKpVKoz+uXLlSduzYEfJ8YMDn6sk251C0oa0YTcN1lhotMTNG/SzS9RKi/Nbv3Ct3PjEw8t9rFnXJxhXzvXxWFXE7O8rOPS3xEgC0YQ56gjTM/WTf4eLTNAcUdmLUzyJdLyHKL8bijq6/V5mSVu55AIBQSNATRWNBtyI0XFkdHjbGXi9TJrTL+p17G9aBItSRPDQ8aM2DhdMAAPCDBB1wrCgN19QTCIRVe71MmdAutz/2UsM6kFId8fkgIeUHrUUaMQEAgCYsEgc4FnsRP5eKuEp3GWRdrM32fWNfX71e3nznWNM6kEodib1jhmYsnAYAgB8k6IBjNFwRU9ak0vZ9zV7fqg6kUkdSeZAQg6ZV1gEAKBKGuEOd1OemMjQcMVTrzf5Db2caemw7ZLnZ61vVgVTqCOswNJfyEH0AALQiQYcqKc1NbYaGK0KqrTcdbeOlo228HB0atkoqbZPRVq9vVQdSqCOpPEgAAADFQYIOVVh4CLBXW2+ODg3L0p5OmTNtklVSaZuMliV51f4gIfURRwAAYDQSdKgSakgpjVoUydh6s3phV9PrutH1b5uMak9ei64oI45cIrYDAFJHgg5VQvTK0ahF0djUG67/4mDE0Whc2wCAImAVd6jje2uvlFdmzrp9ForPtN6kfP1jtFRWww+FaxsAUAQk6CidVBu17MmMrGof7KR6/eNkbHU2Gtc2AKAIGOKO0kl1cSuGs5ZT3jm19Yb9Nrr+Q87fZa6wG6wD8J5UYzsAALVI0AuMBnBjKTZq2ZO5fFzMqa33YKfeUPiQ83eZKwxfUoztAADUYoh7QYUcDs286DAYzlo+LubUmg77DTl/l7nCAAAA9ZGgF1SoBjDzosPyvYAedLGdU1vvYZnpg52Q83enTGhv+t8AAABlxRD3ggo1HJp50YA/Y+fUiois37m37rSVZsPGTYb9hpy/++Y7x5r+NwAAQFnRg15QoYZDs2ou4Fd11ISINB2t4mLUTKgRGsSN8mEqFAAAZuhBL7AQi+Wwai4QRqvRKiktIkjcKBcWBQQAwBwJOnJj1VzAneruC1MmtMub7xwbSWBbJeCpJb1lihtl31GDqVAAAJgjQQccKHsDHG7U9jRW1fY4fv3TC2TrnoGG7y9T0psKeo/TGt0BAEBszEEHcmIle7hS29NYNXY++ZMvHpKHnj3IteaI77nRbCnHFpEAANggQQdyogGOPGoTxNrF06pqexy51twK8XCNBfFOYItIAADMMMQdydIyrJzhm8iq3vDn6jzysXPQRbjWXAsxN1rb2gBa4iYAAKnzdU8lQUeSNM3r1NYARzrqJYjNehm51twK9cBDy9oAmuImAAAp83lPJUFHkrStCqylAY60ZEkQudbcKdsDD21xEwCAVPm8pzIHHUliXieKgMWz4ivT3GjiJgAAbvi8p9KDjiSVrecLxUWPOEIhbgIA4IbPeyoJOpJFYgMAdoibAAC44eueyhB3AAAAAAAUIEEHAAAAAEABEnQAAAAAABQgQQcAAAAAQAESdAAAAAAAFCBBBwAAAABAARJ0AAAAAAAUGFepVCqN/rhw4UKZPXt2yPMBAFWmTp0qW7ZsMXotMRNAmREvAcBco5jZNEEHAAAAAABhMMQdAAAAAAAFSNABAAAAAFCABB0AAAAAAAVI0AEAAAAAUIAEHQAAAAAABf4/hkxEofErx+4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1008x576 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows=2, ncols=3, figsize=(14, 8))\n",
    "axes = axes.flatten()\n",
    "\n",
    "axes[0].scatter(*pca.fit_transform(returns).T, s=10)\n",
    "axes[0].set_title('PCA')\n",
    "axes[0].axes.get_xaxis().set_visible(False)\n",
    "axes[0].axes.get_yaxis().set_visible(False)\n",
    "\n",
    "for i, p in enumerate([2, 5, 7, 10, 15], 1):\n",
    "    embedding = TSNE(perplexity=p,\n",
    "                     n_iter=n_iter).fit_transform(returns)\n",
    "    axes[i].scatter(embedding[:, 0], embedding[:, 1], s=10)\n",
    "    axes[i].set_title('Perplexity: {:.0f}'.format(p), fontsize=14)\n",
    "    axes[i].axes.get_xaxis().set_visible(False)\n",
    "    axes[i].axes.get_yaxis().set_visible(False)\n",
    "\n",
    "fig.suptitle(f'TSNE | Iterations: {n_iter:,.0f}', fontsize=16)\n",
    "sns.despine()\n",
    "fig.tight_layout()\n",
    "fig.subplots_adjust(top=.9)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Convergence with `n_iter`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T20:56:54.953464Z",
     "start_time": "2020-06-18T20:56:54.951689Z"
    }
   },
   "outputs": [],
   "source": [
    "perplexity = 5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T20:56:57.533527Z",
     "start_time": "2020-06-18T20:56:54.954383Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x576 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows=2, ncols=3, figsize=(14, 8))\n",
    "axes = axes.flatten()\n",
    "axes[0].scatter(*pca.fit_transform(returns).T, s=10)\n",
    "axes[0].set_title('PCA')\n",
    "axes[0].axes.get_xaxis().set_visible(False)\n",
    "axes[0].axes.get_yaxis().set_visible(False)\n",
    "\n",
    "for i, n in enumerate([250, 500, 1000, 2500, 5000], 1):\n",
    "    embedding = TSNE(perplexity=perplexity, \n",
    "                     n_iter=n).fit_transform(returns)\n",
    "    axes[i].scatter(embedding[:, 0], embedding[:, 1], s=10)\n",
    "    axes[i].set_title('Iterations: {:,.0f}'.format(n), fontsize=14)\n",
    "    axes[i].axes.get_xaxis().set_visible(False)\n",
    "    axes[i].axes.get_yaxis().set_visible(False)\n",
    "\n",
    "fig.suptitle(f'TSNE | Perpexity: {perplexity:,.0f}', fontsize=16)\n",
    "sns.despine()\n",
    "fig.tight_layout()\n",
    "fig.subplots_adjust(top=.9)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Uniform Manifold Approximation and Projection (UMAP): Parameter Settings"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "### Neighbors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T20:56:57.536219Z",
     "start_time": "2020-06-18T20:56:57.534567Z"
    }
   },
   "outputs": [],
   "source": [
    "min_dist = .1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T20:57:06.883894Z",
     "start_time": "2020-06-18T20:56:57.537067Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x576 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows=2, ncols=3, figsize=(14, 8))\n",
    "axes = axes.flatten()\n",
    "\n",
    "axes[0].scatter(*pca.fit_transform(returns).T, s=10)\n",
    "axes[0].set_title('PCA')\n",
    "axes[0].axes.get_xaxis().set_visible(False)\n",
    "axes[0].axes.get_yaxis().set_visible(False)\n",
    "\n",
    "for i, n in enumerate([2, 3, 4, 5, 7], 1):\n",
    "    embedding = umap.UMAP(n_neighbors=n, \n",
    "                          min_dist=min_dist).fit_transform(returns)\n",
    "    axes[i].scatter(embedding[:, 0], embedding[:, 1], s=10)\n",
    "    axes[i].set_title('Neighbors: {:.0f}'.format(n), fontsize=14)\n",
    "    axes[i].axes.get_xaxis().set_visible(False)\n",
    "    axes[i].axes.get_yaxis().set_visible(False)\n",
    "    \n",
    "fig.suptitle(f'UMAP | Min. Distance: {min_dist:,.2f}', fontsize=16)    \n",
    "sns.despine()\n",
    "fig.tight_layout()\n",
    "fig.subplots_adjust(top=.9)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Minimum Distance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T20:57:06.886634Z",
     "start_time": "2020-06-18T20:57:06.884843Z"
    }
   },
   "outputs": [],
   "source": [
    "n_neighbors = 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T20:57:12.936520Z",
     "start_time": "2020-06-18T20:57:06.887591Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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1ZsyYGjnuAw88YBw7OTlZPXr00DXXXKPXX39dTqfTWG/8+PHG8Stjs9n09ttv18i51bZPP/1U6enp6tmzpyZPnqwjR44EXNdms+n//u//1KdPH11xxRV66aWXPJbv27dPEydOVK9evfTrX/9a69at87ufFStW1NjfHdBYcb2sezV5vXTJy8vTpZdeqvLyco/3N27cqJEjR6pnz54aP3688vLyavSzoHYQoAMAGpzIyEh98cUXPu+vXr1aJpPJeD1x4kQtXLiwxo47YsQIZWZmKjMzUytXrtStt96qZ555RgsWLDDWmT9/vu68884q9/XJJ5/o+eefr7Fzqy3btm3TAw88oMmTJ+udd95RSUmJ/vKXvwRc/4knntCWLVv06quv6tFHH9XChQv1ySefSJKcTqemTJmi+Ph4vffee7rhhhs0depUn+Bh48aNmjVrVq1+LqCx4HpZd2ryeuly4MAB3XXXXTpz5ozP+5MnT9aoUaP0/vvvq1WrVpoyZYocDketfDbUHAJ0AECDc/nll/vccJaUlGjLli1KSUkx3mvWrJni4+Nr7LhRUVGyWq2yWq1KTEzUTTfdpAcffFAvvPCCCgsLJUnx8fFq1qxZlftyH0UKZW+++aauuuoq3XjjjerataueeOIJZWZm+h2pOXXqlN599109+OCD6t69u4YPH67bb79db775pqSKwHvv3r2aPXu2unTpojvvvFOpqal67733jH0sWLBAd9xxh9q3b19nnxFoyLhe1p2avF5KFQ9RbrzxRkVFRfls/+6776pr166644471KVLF82ZM0cHDhzQxo0ba/Uz4vwRoKPOFRQU6Je//KVGjx5t/Bo1apRxA3bmzBk988wzuv766zV69GiNHDlSL774os/F94033lBycrK2bt1aHx8DQAgbNmyYvvnmG504ccJ4b926dbr88ss9bvbcUzY/+OADjRkzRgsWLFD//v01cOBA/e1vfzvv0YZRo0YpMjJSX331lSTPlM0DBw7o9ttvV+/evdW3b1/NmDFDJ0+eVFZWlmbMmKHCwkIlJyeroKBAJSUleuihhzRgwAB1795dI0aM0KpVq4zjJCcn66OPPtLIkSOVmpqq8ePH68cffzSWZ2dn6+abb1bPnj01bNgwj6B3165duuWWW3TppZcqPT1dixcvNq65BQUFSk5OVlZWlt/P991336lPnz7G6zZt2qhdu3basmWLz7o7d+6UzWbTZZddZrx32WWXafv27SovL9d3332nlJQUxcbGeix3v85v2rRJixcv1lVXXRXcXwCASnG9DM/rpSStX79e06ZN00MPPVTlsWJiYtStWze/x0JoIUBHvYiOjtaKFSuMXy+99JL+8Y9/aOfOnZoyZYpKSkr0zjvvaMWKFVqyZIlWr16tZ5991mMfb7/9tkaOHKnXX3+9nj4FgFDVuXNntWvXzrjJk6Q1a9Zo+PDhlW63fft27d69W2+99Zbuvfdevfnmm1q/fv15nUuTJk108cUXKzc312fZ7NmzFRERoffff1+LFy/Wli1btGjRIqWmpurBBx+U1WpVZmam2rRpo8cff1y7d+/W4sWLtXLlSvXp00f/93//J5vNZuxvwYIFevDBB7VkyRIdPnxY//znPyVJxcXFmjBhgjp16qQPP/xQ06ZN0yOPPKLNmzfr9OnTuv3229WrVy/961//0sMPP6zXX3/dGKVp06aNMjMzlZqa6vfzHTp0SBdddJHHexdeeKExAuauqKhIzZs3V5MmTYz3WrVqpbKyMhUXF6uoqMjvvg4ePGi8XrJkicdNJ4Dzw/UyPK+XkvToo4/q97//vd9jBbqe+jsWQgsBOkJCQkKCEhMTtXr1au3Zs0czZswwLkgtWrTQE0884XFDlpWVpWPHjmn69Olas2aNDhw4UF+nDiBEDR061EjbLCsrU2ZmpoYOHVrpNuXl5Zo9e7Y6d+6s3/72t+ratau2b99+3ucSGxurkydP+ry/b98+xcXFqV27durevbsWLFig66+/XlFRUYqLi5PZbJbVapXFYtFll12mRx99VL/85S/VoUMHTZw4UceOHfO42br11ls1YMAA9ejRQ2PGjDHO/f/9v/+nZs2aadasWerUqZOuu+46PfDAA3I4HPr444/VvHlz/elPf1KHDh00ePBg3XvvvcbDT4vFIqvV6jeFUpJOnz7tsywqKsrjRtiltLTU77pSRTOk0tJSRUZG+iwvKyur6kcM4DxwvQy/62VVAm0fzLaoXxH1fQKAJG3ZssVILbr00ktlsVg8lnfo0EEdOnQwXi9dulQjR45UQkKC+vfvrzfffFPTp0+vy1MGEOKGDRumKVOmqLy8XBs3blSXLl3UqlWrSrdp0aKF4uLijNexsbE+XXGro6SkxCNt22Xq1KmaNm2a1qxZo4EDB+qqq67SNddc43cf119/vVavXq3ly5drz549+v777yXJI6X0F7/4hd9zz83NVdeuXT2urTfffLMkae3atcrNzfUY8XE4HLLZbLLZbAFvNF2aNGnic8Nns9kUHR0d9LpSRfplkyZNVFJSEtS+ANQcrpfhd72sSqDta7KPAGoHATrqxenTpzV69GhJkt1uV4sWLTR37lzt3bu3ykYfRUVFWrNmjd5//31JFRfhRx55RHfffbeaNm1a6+cOIDz07t1bFotF33zzjdasWaP09PQqt/EevZXOv/nQmTNn9N///lcTJkzwWTZ8+HCtW7dOq1ev1ldffaUZM2YoMzNTf//7333W/ctf/qJvv/1Wo0eP1pgxY2S1WnXTTTdVev6uc/f3uVzKy8vVt29fPfrooz7LIiKqvk1ISEjQ4cOHPd47fPiwrFar33WPHz/ucSNbVFSkqKgoNW/eXAkJCdq5c2dQ+wJQc7heht/1MphjFRUV+RwrKSmpym1Rv0hxR71wr0FfuXKl3njjDQ0ePFg9e/bU9u3bZbfbPdbftm2bMUL+7rvvSpImT56soUOH6oknnlBJSYk+/PDDOv8cAEKX2WzWlVdeqS+++EJr166tsp6ytnz88ccymUwaMmSIz7Knn35aBw8e1O9//3stWLBAf/3rX/Xpp59Kksf0RiUlJVq5cqWeeuop/e///q/S09N17NgxScHdECcmJionJ8dj9GjGjBl69tln1bFjR/33v/9Vu3btlJiYqMTERP3nP//RSy+9JLO56tuEnj176ptvvjFeHzhwQPv371evXr181v3lL3+pyMhIjyZF33zzjbp166aIiAj17NlTO3fu1KlTpzyW+9sXgJrD9fKscLleBnOsb7/91nhdWlqq7OxsrqdhgAAdISU1NVWdOnXS448/bsznePjwYf31r3/VxRdfLLvdruXLl+vRRx/VF198oS+++EJffvml7rrrLi1ZsiRsptkAUDeGDRum5cuXKz4+/ryn5bLZbCoqKvJ5gOhvnaKiIuXl5enNN9/UnDlzNHnyZLVs2dJn/T179mj27NnKzs7Wnj179Pnnn6tbt26SpKZNm+rEiRPau3evmjRpopiYGH3++ecqKChQZmamZs+ebRyzKqNGjdLJkyc1Z84c7d27VytXrtTKlSuVlpamUaNGyWaz6eGHH9bu3bu1YcMGzZ492xihsdvtKioqCnicMWPGaOXKlXr33XeVk5Oj+++/X4MGDTLKkk6cOKGjR49KqkjLvP766/Xoo49q27ZtWrNmjRYvXqxbbrlFktS3b1+1bdtWDzzwgHbt2qUXX3xR3333nX73u99V+RkBnB+ulxXC5XpZld/85jf67rvvtHDhQuXm5uqhhx5S27ZtNWDAgKC2R/0hQEfImTdvniTpxhtv1KhRozRhwgRdddVVmjp1qtauXSuHw6GRI0d6bDNhwgQdPnxY69atq49TBhCiBg4cKIfDUSOjQVu2bNHAgQMrbUq5atUqDRw4UAMHDtSNN96ojz76SA8//LAmT57sd/1HHnlECQkJmjBhgm688UbZ7XY99dRTkqT+/furU6dOGjVqlHJycjR37lytXr1a11xzjebMmaNJkyYpISFB2dnZVZ57XFycXnzxRW3btk2jRo3S/PnzNWfOHPXu3VuxsbF6+eWXtW/fPt1www26//77dcMNN2jatGmSKkZ4Bg4cGHBqntTUVD322GNauHCh/ud//kdxcXH6xz/+YSz/29/+pnvuucd4PWPGDPXo0UO33nqrZs2apbvvvtuoI7VYLHr++edVXFysG2+8UStWrNCCBQt08cUXV/kZAZwfrpcVwuV6WZWLL75Y8+fP14oVK/Sb3/xGhw8f1vPPPx/USD/ql8nJkCMAAAAAAPWORygAAAAAAIQAAnQAAAAAAEIAAToAAAAAACGAAB0AAAAAgBBAgA4AAAAAQAioNED/wx/+UFfnAQBhj2smAASH6yUA+FdpgP7TTz/V1XkAQNjjmgkAweF6CQD+keIOAAAAAEAIIEAHAAAAACAEEKADAAAAABACCNABAAAAAAgBBOgAAAAAAIQAAnQAAAAAAEIAAToAAAAAACEgor5PAABqU0Z2odbvKlJaklXpKQn1fToAzhH/hwEAtWnuqhytzj6o4SmtNX1Ecn2fDgE6gIYrI7tQU5dtUWmZXcs3F2jemFRu8IEwMndVjhZ9mSu7U/wfBgDUuLmrcvTc2lxJUk5hxe/1HaST4g6gwVq/q0ilZXZJUmmZXet3FdXzGQEIVkZ2oRat2y27s+I1/4cBADVtdfbBSl/XBwJ0AA1WWpJVMZEWSVJMpEVpSdZ6PiMAwVq/q0h2h9N4bTGJ/8MAgBo1PKV1pa/rAynuABqs9JQEzRuTSv0qEIbSkqxavrlApWV2WcwmTRrcmf/DAIAa5UpnpwYdAOpIekoCN/VAmMnILtTSrDw1a2KRw+lQ6wui1at9fH2fFgCgAXFvQtqrfbzW7ypSRnZhvd83EqADAICQMXdVjp5fmyun23t5xaW6643NGnyJVWP7Jdb7zRMAILy5NxJe8nWe8f6bG/P0wvjL6/V7hgAdAADUK9coRlx0pBZ6BecuDqe0NqdIG3KP6LlxvQnSAQDV5t5I2J3DKf115fcE6AAAoHFyH8WwmE1yVLG+ze7Q0qw8AnQAQLWlJVk9Rs7dHS6x1fHZeKKLOwAAqDfuoxh2h5MbEwBArUtPSVBsE4vfZYOTL6rjs/HE9yAAAKg33tMhTh7SRUOSrerR7gL1aHeBhiRbdfeQLoqyVNyyRFnMGtsvsT5PGQDQANz6q44+73W2NtPz43rXw9mcRYo7AACoN8FOh+jqsMuUiQCAmuCaUm3ZpopU9zF9E5lmDQAAIJjpEJkyEQBQ06aPSA6JoNwdKe4AAAAAAIQAAnQAAAAAAEIAAToAAAAAACGAAB0AgGqYuypHI55ep7mrcur7VAAAQANBkzgAAM7R3FU5em5triQpp7Di91BrMgMAAMIPI+gAAJyj1dkHK30NAABQHYygAwAQpN8s/Le2/PiTTF7vD09pXS/nAwAAGhYCdAAAqpCRXagHP9imohKbx/stm0VqTN9E0tsBAECNIEAHAKASGdmFmrpsi0rL7D7LrLFNCM4BAECNoQYdAIBKrN9V5Dc4l0htBwAANYsAHQCASqQlWRUTaZEkmX7+FR1h1t1DujB6DgAAahQp7gAAVCI9JUHzxqRq/a4ipSVZlZ6SUN+nBAAAGigCdAAAqpCekkBgDgAAah0p7gAAAAAAhAACdAAAAAAAQgABOgAAAAAAIYAAHQAAAACAEECADgAAAABACCBABwAAAAAgBBCgAwAAAAAQAgjQAQAAAAAIARH1fQIAAASSkV2o9buKlJZkVXpKQn2fDgAAQK0iQAcAhKSM7EJNXbZFpWV2Ld9coHljUpWekkDQDgAAGiwCdABASFq/q0ilZXZJUmmZXU+u2qmt+Ue1OHOvT9AOAADQEFCDDgCoMxnZhZq5YocysgurXDctyaqYSIvxOqewRIvW7fYI2tfvKjrv4wAAwgPXdjQGjKADAOqEd8r6xIEddeJ0WcBU9fSUBM0bk6onV+1UTmGJJMnucHqsExcdWeVxGGUHgPCXkV2ou9/6Vja7Q29+nafJQ7po+ojk+j4toMYRoAMAaoV3rbh3yvpza3MlyQiiJfnUlrt+d92Uecvef0wzV+xQXHSkEd7Gb28AACAASURBVOx7H2dpVh4BOgCEuaVZecb3gEPSwi9z1at9PNd3NDgE6ACAGudvFDstyarlmwuM4NmltMyu+9/7TkdPlckh6e1N+bqiy4Ua2y9R6SkJSk9J0BVdLtTaHM909gizSetyiuQetrtG5qMsZuNGbv2uw8rILuQmDgAaEIez4qEu13Y0NNSgAwBqnL9RbEnq36ml2jWP9lm/+OfgXJJsdofW5hTpriWbNXL+emVkFyqlbXNZzCZJktkkJbaMkd3hlPeYemmZXSdOl+mS1nHGe+UOp3F8AEB4GtsvURE/fw9IUpTFrLQkaz2eEVA7GEEHANS4tCSr3t6Ub4xir/uhSBtyj8hmd3jcYFXGIWn7vuOa/OY3MptMRv25wynlF5fK6Wcb1w1bfvGpGvokAIBQkJ6SoIU3X2Y8cHVlWQENDQE6AKBWxEZHqPikTVJFUO0K1ssd/kLrs0ySR/Bdsb7nNr7V6D+/73Rqa/5RSRUp8OUOp6IsZo3tl1iNTwAACCWusiegISNArwPejZIAoCFzrz935wq8zT//7i9MH5JsVUrb5lr4Za6qiOP9Knc4jW0jzCYNSbYawfnMFTu4DgMAgJBGgF7LmO4HQDiYuypHH20pUMtmUZo67JLzuk6515+7M5kqgvTKAu+Uts01fUSyerWP17R3tqjkzNn9xDaxeLz2x33/5Q6nfjh4Qlvzj2px5l6Vltl9GtABAACEEprEVVNGdqFmrtihjOzCStfzbpS0fldRpesDQF2buypHz63N1b6jp42a76qubZVJS7IqJtIiyfNLxuGsPDiXpK9+OKSZK3Zoa/5RnbJ5BuOVBedmST3aXaBu7Zp7vL/v2GktWrfbuA67GtBNXbblvD4jAABAbWAEvRrOZVTcfVqhmEgL3SYBhJzV2Qc9Xpc7nOc1dU16SoLmjUnV+l1FOlxi06rvDxoN3qqyfd9xbd93XBZT1cG8VJHGnpbUSiltm+vE6TIdLrEpe/8xj23tDqfM8qxbdz0wZRQdAACEEgL0avA3Kh7oJs/9RpXaRwChaHhKa+UU5hqvK4Le83uY6LrWTV22Jejg3J3d6dsszltiyxg9fF034zjuafVmSXIL8s1mk7q1iVPOwRLZ7A4emAIAgJBEgF4N5zoqTsdJAKFs+ohkSaqxGnRXY8z84lOeQXOQo+IuTlUepO87elqS/5p3h6R2zaONdcodTqX+ooWmDruEB6YAACBkEaBXA6PiABqa6SOSjUD9fLiXAEVZzIqymI0R64kDOyp7/zEdLjkjp0z64eAJY+q1uOgI2crtOlPuGY5XFs+XO5xampWnsf0SjYemLjGRFl2ferHRHM71MLUmH5jOXZWj1dkHNTyldY387AAAAAjQq4lRcQDw5T6abbM7NCTZqvYtmxqZRidOlxnTni3NypNU0bn9pa/2yGb3DcejLGbZHQ75WSRJOlxyRut3FWniwI46cbpMcdGROnG6zAjGe7WPr5WHqa7GepKM8gCCdAAAcL4I0AEANca7BMg1nZn7yPrbm/IlyRhZP1xyxhhJd+nR7gKl/qKF0pKsWpqVp7U5vjNgRJhNyjlYou37jhsj9O7BuVR7D1O9G+utzj5IgA4AfrjKnoJ9UHqu6wMNDQE6AKDGBCoB8h5Zdykts+v7/cc99hFlMfvUwW/cU2wE/a5APL/4lBG4l5bZtWjdbtkdzipn16gJ3o31hqe0rrVjAUC48jfzkXQ2g8r9Ie76XUWKi440SpPc1ydgR2NCgA4AqFH+Rq3dR9ajLBWzo9vsDllM8khfbxcfrUdGdTe2d920+Rsdz8guNAJ3i0lGt/i6mELNNVpODToABOY989HSrDxtyD1iPKjdkHtEdwzqZATlFrPJ41q+NCvPuM7XxcNXIBQQoAMAap33yLokn9GSmEiLT3DuGnmJibT43Ji579N7P3UxhVpNNdYDgIYqLcmqtzfly2Z3yCypqMTmkUVlszu0OvugEcTbHU7jwW1MpEWSgp7aGGgoCNABAHXCe2Td9edAjdy8R1783Zi577O2GsIBAM6Ne8q6w1kxIu6QlL3/mMd6JpPU+aI4/Vhc6lPG5HrQ6l7iVBcPX4H6RoAOAKhXgRq5eTecq+rGjNk1AKBu+WvolpFdqLvf+tYYNXdvAerwmpHD6ZTW7jzkdyYOSX5LnGgih4aOAB0AEJICNZwDANQ/79k5ruhyoVLaNtdH3xYYaewOSSZJAWbKlFSRIeXq5+EqVXrz6zyZzSaVO5xGiZMk3fbqJqOGnZp0NFQE6ACAkMWoOACEJu/ZOdbmFPmdElOSYptYVHLGHnBfOYUlyi3abTSIc0hyBGgW50JNOhoqc32fQEOVkV2omSt2KCO7sL5PBQAAAKhRaUlWo5FbZZySmsdEVrme3Tv//WfezeLc36cmHQ0RAXotcKX8LPk6T1OXbSFIBwAAQIPiKkMakmw1ps/0JybSop7tW1QZdESYTbqmRxtZzCZJUpTFrCHJVs0bk6qx/RKNQN39fUbP0RCR4l4Lguk8DAAAAISz9JQEbc0/qu8Kjqr4pMNnebMos5pGReizHQfkkGQxmzRpcGdl7z/mkw7vcDrVsVUzDUpqpcMlZyRVTMs2b80PahXbxKdZHNBQEaDXgnPtPFzT6G4JAACA6gr2XnLuqhw9tzY34PKTNodO2s4Yr+0Op7L3H1NK2+Zal1Pk0+F94Ze5Pp3eXTbkHtFz43pzb4sGjwC9FtRn52H3jpp0twQAAMC5mLsqR4vWVTRsq+pecnX2wXPe/9qcIn35Q5GcqujwLlPFdGtm+U7D5s5md5CVikaBGvRakp6SoNmju9f5RcRfej0AAABQlYzsQi36Mtdo2FbVveTwlNbVOo7z50DcKenKS6y6ZUCiurW7oNJtoixmv1mpNGZGQ8MIegNT3+n1AAAACE/rdxXJ7jaKbTGbKr2XnD4iWZL02oY9OmnzrUGvisVs0th+iUpPSVBGdqHufutbYw51dz3aXaCpwy4xBr5cKfhx0ZHG3OlkjqKhIEBvYOozvR4AAADhy32gx2KSJg3uXOW9ZK/28fKaAU3W2CayOxwqPlUWcDuTpJQ2cR7vXdHlQklSStvmyt5/TIdLzqhVbBOltG3uMZLvKue0mE0+o/3c+yLcEaA3QOkpCVycAAAAcE6qM9CzfleRx6h3y2ZR+n2f9vpoS4HkJ0CPbWJRh1ax+uHgCW3fd1xTl23RxIEdjZHwmEiLxvZLlKSfa+GPGx3fl28uUP9OLY1yTrvDKYtJsjuZFx0NBwE6AAAAAEnnPtCTlmTV25vyjSC9+KSt0s7uJWfsMslprF9aZtdbG//r0UPp/ve/09GTZfJOdnetExNpMYJ5pl9DQ0OAjlrHtG8AAAANU3pKgq7ocqHPvOaVKT5pM4JsSTpaWu613H9qvGt0fWy/RO4t0WARoKNWMe0bAABAwza2X6LPvOaV6dm+hW5IbacnV+1UTmFJpetaTNKI7m3UKjbKIyDnfhINFQE6apW/ad+4oAIAADQc6SkJmjykixZ+mSuHUzKbKt4PNK/56uxCldrKNTyltX4srqg9j7KY5XA6Vf7zRhFmk9KSWhld3oHGggAdtYpp3wAAABq+6SOS1at9vJF6LklLs/K0IfeIbHaHTKqY91ySbHaH1uYUaUPuEd0xqJNRQy5J89b8oH1HS9U2vinBORolAnTUKqZ9AwAAaBy8G8y55jf3nrPcxWZ3KHv/Mb16W19JFaWROQdLZLM7VHzymO5+61s9N643949oVAjQUeuY9g0AAKBxcr8P7NU+Xo/8a4f2HT3td13vKdtsdgflkWh0zPV9AgAAAAAavvSUBD0yqruiLBUhSJTFbMx5LlWURrqWuZZTHulr7qocjXh6neauyqnvU0EtYAQdAAAAQJ1IT0nQc+N6+y1/dC1bmpUnSdSg+zF3VY4xz3xOYa5e+mq3nht3GT+nBoQAvYYx5zcAAAAQWGXlj5RGVm519kGP1za7U3cs2ayXbrmcn1sDQYp7DXLN+b3k6zxNXbZFGdmF9X1KAAAAABqI4Smt/b7vyjpA+GvQAXpGdqFmrthRZ4Gyvzm/AQAAAKAmTB+RrPgYkqAbsgYboNfHaHZaklUxkRZJCuk5v+v6wQUAAACAmrF11gi1vqCJ8dq72R7CW4N9/OJvNLu26zLCYc5v14OL0jK7lm8u0LwxqSF5ngAAAAD82/jgcHpfNVANNkBPS7Jq+eYClZbZ63Q0O9QbW9THgwsAAAAANSvU4w5UT4MN0MNhNLs+nM+DC57SAQAAAEDtabABusRTJX+q++CC1HgAAAAAqF0NOkCHf9V5cEFqPAAAAADUrgbbxR01K1w61AMAAABAuGIEHUGhph8AAAAAahcBOoJGTT8AAAAA1B5S3AEAAAAACAEE6PVk7qocjXh6neauyqnvUwEAAAAAhABS3OtYRnah5q35Qdv3HZck5RTmSpKmj0iuz9MCAAAAANQzRtDrkGsucVdw7rI6+6DHOjNX7FBGdmFdnx4AAAAAoB4RoNch97nE3Q1PaS3pbAC/5Os8TV22hSAdAAAAABoRAvQ65D6XeITZpHbx0bp7SBcjvd09gC8ts2v9rqJ6O1cAAAAAQN2iBv08ZGQXntO84FXNJZ6WZNXyzQUqLbMrJtKitCRrbZ06asm5/psAAAAAABcC9GpypaOXltm1fHOB5o1JDTpID7ReVQE8Qlt1/00AAAAAgESKe7XVVjp6ekqCZo/uTmAXhihRAAAAAHA+CNCryb2evL7S0en4HlpC4d8EAAAAgPBFinsQ/NUV13c6OunUtas6teT1/W8CAAAAQHgjQK9CZYFwZfXkgfZVU8Gbv3TqQPukcdm5OZ+HH+f6bwIAAAAAXEhxr0JN1RXX9BznwaZTh9vc6qGQtk8tOQAAAID6QIBehZqqK67poM+VTn3LgMRKR3jDKdgMlYcJ1JIDAAAAqA+kuFehpuqK46IjK31d3XOr6nzCaW71c0nbr03UkgMAAACoDwToQaiJuuITp8sqfX0+KqsxD6dgM5QeJlBLDgAAAKCuEaDXEe/gMy46UjNX7DjvoDmYhmbhEmyG08MEAAAAAKhpBOh1xD34jIuO1OLMvTUyRVqopIXXlJp6mEDnegAAAADhhiZxdSg9JUGzR3fXidNlNda4jYZmvkKl2RwAAAAAnAtG0OtYRnah8otPKcpils3uOO+gmrRwXw0tqwAAAABA40CAfg7OJW3a37ru9eJRFrOGJFs1tl+iJJ1XPXq41JjXlVBqNgcAAAAAwSJAD1IwzdiqWtd9ZNdmd2j/0VJtzT8asB6dOurqIasAAAAAQDiiBj1I/tKmz3Vd93pxScopLNGidbv9rksd9flx1fsTnAMAAAAIFwToQQq2GZt7jbm/dft3aql28dHGa7vDKYtJPuueywMBAAAAAED4I8U9SMGkTQeqMU9PSfBZ5t4kbuLAjjpxukxx0ZEeo+21UUdN2jwAAAAAhCYC9HNQVTM27xrz9i2bGut7LxuSbFX7lk2NQNlf3br7vOmuwP18gupzqaMHAAAAANQtUtxrUKA0eH9p72P7JXrUSAeaGiwtyarFmXvPuRY9I7tQM1fs8FiftHkAAAAACF2MoNcgf2nw3qntPdpdoFaxTXy2jYuO9Pu6qjm9q5rO7a2NeZp0ZRdNH5HM9GMAAAAAEMII0GuYdxq8d2p79v7jsjuljXuKPVLMT5wu89iP63VlQXUw07nZndKidbvVq308048BAAAAQAhr9Cnu/lLBa2Kft726Sbe9uklx0ZFG2rvFbJLdWbGOd4p5oPR4V1B9y4BEn5px79H1pVl5xr5cneGlik7x7jXsTD8GAAAAAKGnUY+g12TTNFeqeVx0pF76ao9sdockaUPuEd0xqJPRpX1x5l6/o+GVjW57j8q7H8vVDd51rLmrcnTidJlGdG+jVd8flN3hJJ0dAAAAAMJAow7Qq6rvDkZGdqGWZuVpQ+4R2ewOWUwyRsmlirT2E6fLNHt0d2VkF6p/p5aSZEy/5r6fqlLPvY8VE2nRJa3jtGPfMeNYi77Mld0pWUzSiO5t1Co2ygjOZ67YQWo7AAAAAISoRh2gn2/TNPcReBe7UzKbJMfPQXqUxay0JKvHuq4u7v72428k3zswdykts+unkjPGKLrFbJL95wPbndKq7w9q0c2XSZLf/TMnOgAAAACEjkYdoJ9v0zT3EXiXmEiLJg7sqOz9FaParpHymSt2BBytDzSSHygwd7fv2GlFWcwakmxVStvmxgi6VFF7vjQrT+1bNvU7vRpzogMAAABA6GjUAbrkW9/tT6CR5rQkq97elG+ktre+IFrX975Y00ck++yjstF6f8v8jc67a9ksUsUnKzq92+wOtW/ZVL3axyul7QXase+4XFn2FTXwzRUTafHYf02k9wMAAAAAak6jD9CrEmwjObuzYjR7ceZeY0ozd67R+nlrflDxSZu25h/1SDOfOLCjTpwuMwL3J1ftDBicS1LPi+O1cU+xEXTHRUfq7re+lc3ukFsDd6MG3l+mAHOiAwAAAEDoIECvQmUjzet3Ffmknlc2Gr01/6i27zsuSXpuba72Hj6ptTsPGUHyvDGpkhRw5NxV2+6qYU9p21yrsw9qeEprZe8/ZpyL023dKItZ+cWnJEmzR3c39lXd9H73DvKuBwqMvAMAAADA+SNAr0Kwqeku/kajXUHtmv94zrX+71zf4N/1Z2+u2nb3UXbXlG25RbvVLj7GY/2LWzSV3eFQ4fEzWptTpI17in1G/4NJ7/f+HN4PD6hfBwAAAICaQYBeharmJ3ctCzSi7B7Umk2e++58UZy2/viT7E7PwN5V1y5JEWaT0pJaKaVtc4/9uzedszucKig+pQizSeUOpyLMJh08dtqn47t787nKRs4DLffXFO98pqejgzwAAAAAnEWAHoTKRpqrGoV2D2odbvOjX5bYQtn7j1fMWW42aUjXi4yA9YouF2ptTsVoevnPG7301R7Z7A69vSlfz43rrcMlNo/jOCQNTmql9i2bKr/4lLG9i7/mc8s3F3iMyruCd9fytzfl64ouFxqd6IPJGAh2Pnc6yAMAAACAJwL0WuAepPoLaiXp4NFSjxHwVd8flN3hNIJmVwO4KItZ3xWcrS+32R26//1t+umkZ4BuNsmYW31pVp4xN3qUxewRZHtP97Zwba4ckhH4uz9QsNkdWptTpK92HdakwZ01fURypRkDwQbedJAHAAAAAF/m+j6BhsYVpC75Ok9Tl22RJM0bk6ohyVZFuOW4F544oyhLxY/fYqoI0qWKgNXVdX1IcsXIdLFXMF580ianPMU3jdTW/KO6+61vtTanSA6nUz3aXaDk1rGSKhrUzVyxQ3HRkYqJtEj6uZHcz9vb7A4tzcpTWpLVWO5idzi16MtcZWQXGiPp/tL5/QXe/rgfo6oO8hnZhZq5YocysgsDrgMAAAAADQEj6DXMO0h9ctVO/XlEV716W1/d9uomj9T1IckVKelx0ZFGwzeL2aS46EilpyRoaVaeT5f4QIpPlun5tblG4F7ucHrMh+46rnuzuS0//mR0lXdx1dUvzcrTuh+KjLR8u1NGwB1olDxQQz3vtPdgO8iTCg8AAACgMamVAL0xNwDzTmnPKSzR1GVbNG9Mqsb2S/SYu9yVdu6y6Mtc2R1OLc7cK0nakHsk4HFc06i58x5V934tVTw0WJ19UH8e0VVpSVZj7vQoi9lIkXed0+GSM/p+33E5dHake2lWXsD0dH+Bd6AgO5gO8qTCAwAAAGhMajxAb+yjnq4g9clVO5VTWCLpbHA5e3T3gCPHJ06Xyf5zRO0KogONnjeLMutUWXAj6/7kFJZo0hubNenKLkbduWu025UG7xrRd69hlzwfGkRZzD7p6d6B9/kE2ZVNcQcAAAAADU2N16AHW4fckKWnJOjPI7oGXWct+dZlD09p7VML7nLS5pDT3/B4FZpEnK2BtzulRet2a2v+UUkVNequ2vlF63Z7NIpr37Kp0lMStH5XkcdDgyu6XFhlsH0u9eaSZ82562HHLQMSG92DHgAAAACNT42PoDemUc/KUvnPJd070Pq92sdraVaeNuQekc3ukEn+09aDZSt3yqyzjeFczd/szp8b1TnPvu967f536P136xpVr0ygn4O/n1tl6fDnojGXWAAAAAAIXzUeoAfbACzcVZXK7y9I9NdATpJHkO6+D9dr174Ol9j02fYDqm5yu1NS93YXKPvAiYog3Gwyuse75mO3O5wejeTcz7+6f7fun6uyn1tN1Jw39hILAAAAAOGrVprEVWfUM9xUFkwGChIrayDn2qf3vOLu86lPXbal2sG5JJkk7T18UjGRZl3YrImckgp+OiWHs6KevE3zaJXbHbq+98WaPiLZ7z6C/bsNNIpd2c+tJrIvaCwHAAAAIFwxzVo1VRZMBgoSAzWQW5qVZ3R3dwX00tnpzN7amKeUthcY+6yOSItJZXanSs5U7KPkzCljmUmS3eFQXnHFey+s2y1Jfuc6D0Zlo9iV/dxqIvuiMZVYAAAAAGhYCNCrqbJgsqogVDobfLsaqHmnvreNjzHeszul7/cfV4TZpHLvudWCYDZJZfbA2zl1tv5cqphDfeGXuXI4Va008cpGsasKws83+6KxlFgAAMJfMD1T3NeRfLPtAAANCwH6eQgUTAYKEt2/ZN2XSzJG0KWK1Pe9h095NHRzOKU2zZto39HT53ye1YjpjW38pe9XdXNQ1Sh2bZdANIYSCwBAeAumZ4r7Om9vypdUMbsKPVYAoOEiQK8l3kGivy/i2aO7G8u9U99tdod6uDV0i4m06PrUi/XSV3sCzo8eHWHW6fLgqtQvS2yhC6Ij9EPhiUqDfve5zoNtwMYoNgAAlQs0La37d6f7Ou7f/cH0WGFGEwAITwTodaSq5mX+Ut+nDrvE2NZ76rXDJWe0Y99xj2nXIswmBatb2ws0e3R3j6Db3zRuV3S5UJI0c8UO5RefCroBG6PYAAD4cgXOcdGRiom0qLTMriiLWd/+eFRvb8qXze7Q25vyldw6VlLFg3Kb3aEoi1lSRaBuMZsUFx3psS/3vjHMaAIA4YsAvY4E07ws0MhzoKnX7lyy2WP7DtZY7Txw3KdO3WzyTHM3/3w+rv1NHNjRmA/dXZTFrJS2zY0v+SiL2aiDN5ukuOjI8/iJAADQuLgHzhaTNKJ7G5XayrUh94h27DtmrGezO7R933FJFY1cu7drrv8dlqSt+Ucrvq8dTr301R45nE6P73xXMM6MJgAQvgjQ60iwad/BjjwvzcrzGO02mSRrbJQGD+6s7P3HtCH3iJEO5x6cmyRNHtLF4xgnTpf5BOdmSXcM6qQTp8s80utMPw/SO5zSS1/tUa/28XzpAwAQBPfA2e6UVn1/UIOSWgUsXZMqMtt27Dume9/eoqZRFuP72t82rmCcGU0AIHyZ6/sEKpORXaiZK3YoI7uwvk+lRqSnJGj26O7VmrbM/eeQkV2oDblHjOUmSRaTSWtzirQ4c6/G9kvUc+N6Kzkh1mdfVyZbfeY4T0uyGt3kXRw6O82aa5nFJDndAnmb3WHUzAEAgMqlJVk9brzsDqd2F530Wc9fxdpJm11FJbZK9+8Kxl2DArcMSPRIb29o91UA0BCFbIDuSgNb8nWepi7b0mi/TPz9HNbvKvJ4ct40ymKkuLmnsv15RFePuvQoi1lj+yX6HMP1RT4k2WrUuLk/ce/fqaWGJFs16couxnLX/ngqXzVuiACgcfJ3/Te7fS+bTdL+o6d8tmvfIuacjhNhNqlHuwvUv1NL47j+ZpLhvgoAQl/IprhTP1XB38/BPXVNqniq7uIeWG/NPyrHz0PerpR1V/26vzp372WSZ9M618j80qw8SdLYfomN8u/kXNCoBwAaJ3/X//W7ijxqxh1O/1Oh5heXBn2c5IRYDU9prcWZe7V933F9mVMk/Zzx5v69w30VAISHkB1Bd0+tbkz1U95P2/39HFwj3t4p7MkJscYXcUZ2oRZ9mWt88btS1v09QXc/pnsafqAv81dv66tXb+vLF3sQAk2jAwBo2Pxd/4NtrhqoIj3SbNIvWjb1yHb784iuHv1inDpbjub+vdNY76sAINyE7Ah6Y5xLO9Boa2Wd3d1HuP88oqvx/vpdRR6N3yxmk9KSrD43DEuz8rRxT7HfEd646EhZzCZjHvbqfpk35rlYadQDAI2Tv+v/+T6kLXM49WPxKSW2jFEna6xRtpZffEpm+Qb2ru9+qXHeVwFAOArZAF1qfHNpBxqxDvRzqOzL1vsp/YhurSVVfIm75lR1PUn3d8yM7EItztwru8Mpi0maOLBjtf4uGnuKNzdEANA4+bv+f7hln896EWapPHATd7/yikt14NgZpbRtrsWZe1VaZpdJFU1jXc/mzZImDe7sd6pWAEDoCukAvbEJdrTVe0Ta35ftidNlHq9LbeUe85kPSbZqbL9Ebc0/qq92HfYZJfeeCsZ7f8Gi5o0bIgBorLyv/7sPnfCzlklmk9NvLXplbHaHPtpS4JHabpLUslmU2sVHa+qwS/juAYAwFLI16I1RoGlR3AXbhTUt6WxHdtfv7vOZt2/ZVJICjpLXVK0aNW8AAFTofFGcz3vlDqcGX2JVdITvLZmf2dY8RHjNx+aUVHzSptxDvlO3AQDCAwF6iKlqrvTqNh1LadvcJ1CubJQ8PSVBEwd2VHJCbLXT2137cT10mDiwo9bvKmJqFwBAo9QqNsrnvZhIi1LaNvfo7u5SWYAeYTapkzXW7zKakgJA+CLFPcwEmwbvPle6ze7QidNlfmuhA+3LVYNeWmbXj8V71at9/HkF6ZIadS06AADu3+FRFrOu6HKhxvZL9Jl+TaoIzgOVpie2jNHD13WTJKPRq9kkmU0mlZ9nY1cAQP0iQA8zwTYdS0uy6u1N+bLZHYqymP3Wq1e2r5qsHc/ILtSTq3aG0Y4ZTgAAIABJREFUVS16Y+48DwCoHZV977q+s6WK9Mare7TR2p2HVFpml8Ukj5lZBidfZGzrvj9JfHcBQJgjQG/k3IN296C0pqYHc+/i7hLqT/Ybe+d5AEDt8dc4ND0lQc+N662lWXmSpLH9Eo0ZVVzzp7uy2ry/Q/09fAcAhC8C9DATbPDoneLub8TaPSCXfFPQa2J6MPeReElKToj1mK89FNF5HgBQ1wIF7q73erWPZ3QcABoBAvQwE2zwWNUIuHeg379TS5/9VtasLlje5xHqwbkUfJ0/AAB1hSk7AaBxIEAPM8EGj1XVqnsH+lJF6nmghnHBPrX3N0d7TYzE16VwPGcAAAAA4Y8APcycS/BY2dN270B/bL9Eo5Os+37PpR470Lrh+NQ/HM8ZAAAAQHgjQA8D/kalzzd4DBToVzXSXlk9NrXbAAAAAFB95vo+AVTONSq95Os8TV22RRnZhTW27/SUhCrrzNOSrIqJtEiquvv6uawLAAAAAPDECHqIq6tR6UB15ueaUk/tNgAAAABUDwF6iAumG/v5BsRV1ZmfS0o9tdsAAAAAUD0E6CGuslHpc2ngVhlqxwEAAACg/lGDHgYC1Yr7C6yrg9pxAAAAAKh/jKCHsWDnRJcqT4Wvy9rxmkjJBwAAAND4NIZYggA9jAUbWAeTCl8XteM1lZIPAAAAoHFpLLEEKe5hLpip0moqFf58hcp5AAAAAAgvjSWWIEBvBEKlxjxUzgMAAABA6MvILtTMFTuUkV3YaGIJUtwbgVCZnzxUzgMAgMbEVbN5uMSm3YdOaHhKa00fkVzfpwUAHlzXqrjoSJ04Xaa46Egtztyr0jK73tqYp0lXdmkUsQQBeiMRKvOTh8p5AADQGLjXbLrkFObqrY3/1dZZI+rxzADgLH/XKovZJLvDKUmyO6VF63Zr0uDO9XWKdYYAHQAAoIFyr9l0d7S0XMOe+lJr7rtSUsXN8dKsPB0uOaNWsU00tl8iD9QB1JmlWXk+1ypXcO7+etGXubI71aCbxBGgAwAANFDuU7J621t0UlJFcH73W9/KZncYyzbkHtFz43qH3M1vY5hiCWhsprz1rdbm+DZ8cx9BlySTKkbSpYomcU+u2ilJxrVg7qocrc4+GPZlPAToAAAADZR7/5f3v8nXSdvZILyjtZmkilF29+Bckmx2h9bvKgqpIDgju1B3vbFZDqf05sY8vTD+8pA6PwDBc++N8en2Az7LkxNi1fmiOI9lvRNbKHv/ceOBY05hiaYu26J5Y1K1Nf+onlub+/P7Fb+Ha5BOF3cAAIAGzDUl6/ezf63O1mYyS+psbWakt6clWRVl8bwljLKYQ65D8l9Xfi/XYJrDKc34YFv9nhCAanHVmy/5Os9vcG42SVERZn2X/5PH+93aXqB5Y1KVnBBrvFdaZtcj/9qh1zbs9Vh3dfbB2jn5OsAIOipFKhkAAA2HKyh3l56SoOfG9Q75GvTDJTaf1xnZhSF3ngAqF6g3hovDKW3fd9zn/XU5h5SWZNWfR3T1aCi37+hpn3WHp7SuuROuYwToCMi9m2JDbsQAAEBjFw6zrAxOvshntM2Vhh9KtaehdC5AKHLvjRFlMat5TIR+OmVTuaPy7fKKSzX5zW901+DO6t+ppX4oPOETnMfHRGhc/w5h/X+PFHcE5P50q7TMrvW7fJs3AAAA1IXnx/XWZYktjNcxkRalJVk1d1WOnlubq5zCEj23NldzV+XU2zmG0rkAoSYju1AzV+yQJM0bk6ohyVY5nE4VlVQdnLuUO5xauDZXa3OKVHj8jMeyCLNJ4/p30InTZcrILqzp068zBOiQdPY/jPs/5rQkq2IiLZLOfgkCAADUl/cn/0ov3XK5bhmQaGT2edea1mftaSidCxBK3OvOpy7bIklq37Kpyr2mUguGK5b33rZtfIwWZ+41jhGuQTop7giYyu7e+ZUadAAAEAq80/GHp7Q2uja7XteXUDoXIJR4Z+YuzcqTVDHqHShIdy0zmSRnEHF8yZkyn+zfcIxfCNDhN5Xd9Y85HGrSAABA4+WqNa2vum/3hrr1fS5AqPKuO9+Qe0Q2u0NRFrMSW0Yrr7jUZ5t28RXvO50Vc6BXFqNH/H/27j48qvLO//hnZkhIJIHwMAZBmgKJoSNWwCoqRLQQ+a2/Vq3dbQu2ttLaBXstfdRqbV3Lttotut2iKG23eukK2NLuyuq6mwYLGKzEHw9acCQkgCEEMgQiIQkJM5mZ3x/DOZx5yhNJ5iHv13X1KnPmzJmTxLnn/t739/7edptOt3eaj5NxJ4qeIkBH2AeGVHYAAJBq7ltYnJDAfF1lrRloGFmIibgXINlZM3Prms5oc1WotpXXH1DWuSW1VjZJhy1Be1fBeXF+jibkZZvXlKQ5hWNTdpKRAB2ksgMAAEQod3u06vX9amrz6vaZl2rGpDyzr/RO3Sk9s6VG1szcdp9fj5ftkyT6UkAMRmZuuduj7QebzMnBBa7xOtx0SO0+v2znzu3pynS7pO8tnKb/3F1vHsvOcGjx7IL+vv1BQ4AOSYOfys7+6gAAIFmVuz1a9uJOc23s6s015nrYl96uk88fiBlAVHlatXz9bramBboQa3LQGADbdfiU9tY39/ha/+eKS/RO3amwLRgvzh0+ELc9aAjQMejYXx0AACSziurGqMJVxmOvP3o/qGF2mdtEGQWwmIgA4oucHDT+/dLbdV2+7oqJI/Xe0dNm9sr/7jmmvBGZYefUNp1J6YEytlnDoGN/dQAAkMxyszJ6db51D+dhdpverDmpF96q1dIXd7IXOtBDFdWNMQfADFOdI1TXdCZsaUlA0odt3qhzUznGIEDHoGN/dQAAkMzcR3ueYhspf+RwM8jwB4Jas6UmZfdjBgaTNUbIdNiV6Tgfqo7MGqYDjW06ZanUbggqNLM+cVSWhtlDq9hTOcYgxR2DjqJ0AAAgHWVnOHT7zEu1ZusB+c9N8/mDStn9mIHBFBkjSDJ3SjjdER6YDx9mk88fVCAY+twtn3+ZWYAu1WMMAnQkBPurAwCAZOWaMCpsy6aecNhtWjJ3su5bWKxDJ9rMolWpPJMHDLbIGCGU9h79WfxaydSwnRWM16RDjEGADgAAAJxT7vboN28c7PXr/IGgWjp8WllWpbL3GiSdD9pTPWAAEqWkyKkNO46o3efXMLtN+SOH6/aZl+q+hcWS0nNLQwJ0AEDCxEpFizzWl3S1lWVV2uRu0ALXePNLHAB6ortCVfFkOuzKzcrQmi018p8rYmUE7QD6ZigujSVABwAkhHXLxbXba7X0xkLNmJQXtg3jkrmT9ey2Q2GPWzp8XX5Jryyr0urNNZKkKk/o/wnSAfRUSZFTL71dZwbpNinmnueR5hSOVUuHzwzOpdAMOuntwIVJh7T13iBABwAkhHXLRX9QemZLjeZd5gzbhnHt9g/CHj+zpUaBoLoM1je5G8LeZ5O7gQAdQK/MKRyrE61nNS5nuBbPLtC6ytqwNemRQfswu02LZxdIkpmO67BJS+dNHVKBBYALR4AOAEiIkiKn/v2tWrOTGwhKJ1rPKjvDYQblkdupGHuftvv8Zhrphh1HtGrRTLMTvMA13pw5Nx4DQE9YM3uslaElafvBplDgbbdp6bypkqSXdx/RmBGZYecNtXRcAP2LAD0NpcP2AgCGpqBsWrVoph7ZuFf1zR1xz7NJZhppu88ftoWRMVvOGnQAvWXN7LG2LfHWwcZqX4ZaOi6A/kWAnmasI7+Rs0oAkAyMQcS6pjNR6zr3HTstSRqdM7zLAN36ukyHXXVNZ1Tu9oR1mgnMAfSWtWJ05PZoBN4ABgMBepqJN/ILAMnAOohol2S3nU9bl6TOQFDf/+O7yh3es6+nnOEOnfH6tbmqUdsPNjEoCeCCDMWK0QCSi30gL17u9ujhjXtV7vYM5NvAoqTIqewMhyRFjfwCQKJZBxEDCg/ODU1tPtU2tcd8fdaw8K+t1rP+sHXpFdWNMV4FAD1X6srXitumE5wDSIgBm0En1ToxGPkFkMxKipxau702bBui3ujqZWxnBAAAUt2AzaDHSrXG4GDkF0CyKnXla+mNhXLYbZJC68eHnft3T5ztDMQ8znZGAAAgHQzYDHpXRTYAAEPXfQuLNWNSnpnpI4UGdXOzMvTy7iOqPxW/OFykTIddcwrHavHsAoJzAACQ8gYsQCfVGgAQT2Q1ZOPfMyblmcujulOcn6PvLZzG9wsAAEgbA1rFne0oAAC9YQzurqus1Zs1J+X1BzTMblMgEJQ1uT07w0FwDgAA0g7brAFACltZVqVN7gYtcI1Pm32/jcFdY7/0yDT4lg4fmVkAAGBQWPsjg9H3IEAHgBT12Wf+op21H0qSqjw1kpQ2QboUPw0eAABgMFh3JnvhrVrZbdLMj4zWH5ddP2DvOaD7oAMABsbKsiozODdscjck6G4AAADSj3VnMkkKBKWdtR9q/hNbBuw9CdABIAnNf2KLpjzw33G/AGIF4wtc4wf4rgAAAIaOkiKnuTWs1YHGNpW7PQPyngToAJBg5W6PHt6412zo5z+xRQca2xRQ6AsgVpAeGYxfVTA6rdLbAQAAEq3Ula+l86bGfK6iunFA3pM16ACQQCvLqrRmS438QWnDjiNatWimDjW2hZ0T+Vg6v9Y83QrEAQAAJBOjj7V6c415LNNhV25Whh7euLffi8cRoANAgpS7PVqz9YD8wdDjdp9fFdWNmuwcoQOWoHyyc0TM19+3sJjAHABSzGBXhAZw4e5bWKwZk/K0rrJWkuSaMEq/2npAnYGg1lUe1jNfvKrfPs+kuANAglRUN8ofCJqPHbbQWqfXv3ujpjpHyC5pqnOEXv/ujQm7RwBA/yl3e7TsxZ164a1aff3fd2hlWVWibwlAD5W68vXc3dfoubuv0db9jeo814frDAT1y9er++19mEEHgAQpKXJqw44javf55bDbtHTeVHP0laAcANLPL1+vNjv1waD09OYazZiUx0w6kGI+bD3b5eMLwQw6ACRIqStfqxbN1F3XFWjNF68iXR0A0lxkJz6ogSs0BWDg3D7r0i4fXwhm0AEggUpd+cycAMAQcfusS8MKTQ2z21RS5EzgHQHoi4Es1kuADgBIWyvLqqh0DyBpGO3Qy7uPaMyITC2ff5lKXfm6d+0uba06rnE5mfrhpy5n4BZIAQNVrJcAHQCQllaWVZkzVVWeGv3u/x3WY3d8nI4vgISK7NTfu3aXXttzTJLU1tSur7+wQ7++6xO0VcAQxRr0JFHu9ujhjXtV7vYk+lYAIC1scjeEPT7R6tU9L+zQvWt3JeiOACDaX2rC16AHJX3rpd1UeAeGKAL0JFDu9mj5+t164a1aLV+/myAdAPrBAtf4mMdf23OMji+ApHF9YfQa9DavX6s319BWAUMQAXoSqKhuVLvPL0lq9/mp5gkA/eC+hcW6qmB0zOciZ9cBIFGevnMWbRUAEwF6Eigpcio7wyFJys5wUM0TAPrJH5ddr2/cVKicTEfY8Xiz6wCQCH9cdr1+c9cndMXEkWHHaauAoYcicUnA2Au5orpRJUVOioIAQD8yCjJR0R1AMjO23aStAoY2AvQkwV7IADCwBmo7FADoT7RVwNBGijsAAAAAAEmAAB0AAAAAgCRAgA4AAAAAQBIgQAcAAAAAIAkQoAMAAAAAkAQI0AEAAAAASAIE6AAAAAAAJAFbMBgMxnty9uzZmjhx4mDeDwAkldGjR+u3v/1tj86lzQQwlNFeAkDPxWszuwzQAQAAAADA4CDFHQAAAACAJECADgAAAABAEiBABwAAAAAgCRCgAwAAAACQBAjQAQAAAABIAgToAAAAAAAkAQJ0AAAAAACSAAF6CiguLlZxcbHq6uqinlu/fr2Ki4v1i1/8QpL05JNPatGiRf3yvg888ID53sXFxbriiit0yy236Pnnn1cwGDTP+9KXvmS+f1e8Xq9eeumlfrm3gfbaa6+ptLRUV155pZYtW6aTJ092+xqv16tPfepT+stf/hJ2vL6+XkuWLNGMGTP0N3/zN9q6dWvY89u3b9enP/1pXXnllfrSl76k2trafv1ZgKGGNnPw9abNPHz4sJYuXaqrr75aN9xwg372s5/p7Nmz5vO0mcDgob0cfL1pL1955ZWw31NxcbHuvfde83nay/REgJ4iMjIy9Oc//znq+KZNm2Sz2czHS5Ys0TPPPNNv77tw4UJt27ZN27Zt06uvvqovf/nL+td//Vc99dRT5jlPPvmkvv71r3d7rf/+7//W008/3W/3NlD++te/6oEHHtCyZcv0u9/9Tq2trbr//vu7fM3Zs2f1ne98R9XV1WHHg8Gg7r33XuXl5ekPf/iDPvOZz2j58uXmF+GxY8e0bNky3XrrrfrjH/+ocePG6d5771UgEBiwnw8YCmgzB09v2kyv16ulS5cqMzNTL730kh5//HFt2rTJ7IDTZgKDj/Zy8PS2j1lTU6PS0lLz97Rt2zb97Gc/k0R7mc4I0FPEJz7xiajGs7W1Vbt375bL5TKPjRgxQnl5ef32vpmZmXI6nXI6nSooKNDnP/95/eAHP9CvfvUreTweSVJeXp5GjBjR7bWsI6LJ7MUXX9TNN9+sO+64Q9OmTdPPf/5zbdu2Le6oY01NjT73uc/p8OHDUc9t375dhw4d0ooVK1RYWKivf/3rmjlzpv7whz9Ikn7/+99r2rRpuueee1RYWKhHH31Ux44d0/bt2wf0ZwTSHW3m4OlNm/nXv/5Vhw8f1mOPPaapU6fqmmuu0Te/+U298sorkmgzgUSgvRw8ve1jHjhwQMXFxebvyel0auTIkZJoL9MZAXqKmD9/vnbu3KmWlhbz2NatW/WJT3wirOGyph/9x3/8hxYtWqSnnnpK1157rebOnauf/vSnFzxyduuttyojI0NvvPGGpPD0o2PHjulrX/uaZs2apWuuuUYPPvig2traVFlZqQcffFAej0fFxcU6cuSIWltb9dBDD+m6667T9OnTtXDhQpWVlZnvU1xcrJdfflmf/vSnNXPmTH3pS18KC4Ldbre++MUv6sorr9T8+fPNBkmSqqurddddd+njH/+4SktL9eyzz5qN95EjR1RcXKzKysqYP9+7776rq6++2nx8ySWXaOLEidq9e3fM83fs2KE5c+bod7/7XcxruVwu5eTkmMeuuuoqvfPOOzHfKzs7W5dffnnc9wLQM7SZydlmTpkyRb/+9a/D/gY2m01er9e8Fm0mMLhoL5OzvZRCk0CTJ0+Oey3ay/REgJ4ipk6dqokTJ5oNliS9/vrrWrBgQZev27Nnjw4cOKC1a9fqW9/6ll588UVVVFRc0L0MHz5cl156qWpqaqKeW7FihYYNG6Y//vGPevbZZ7V7926tWbNGM2fO1A9+8AM5nU5t27ZNl1xyiR577DEdOHBAzz77rF599VVdffXV+tGPfmR21CTpqaee0g9+8AO98MILOnHihP7lX/5FktTU1KSvfOUrmjJliv7zP/9T3/72t/XII49ox44d6ujo0Ne+9jXNmDFD//Vf/6Uf/vCHev755/Xiiy9KCjWG27Zt08yZM2P+fMePH9fFF18cdmzs2LHmaG6kL3zhC7r//vuVnZ0d9VxjY2PMazU0NHT5fLz3AtAztJnJ2WaOGTNG119/vfk4EAjoxRdf1FVXXSWJNhNIBNrL5GwvvV6v6urqtHnzZt18881asGCBHn/8cfNnoL1MXwToKeSTn/ykmYLk8/m0bds2ffKTn+zyNZ2dnVqxYoWmTp2qv/3bv9W0adO0Z8+eC76XnJwctbW1RR2vr69Xbm6uJk6cqOnTp+upp57S7bffrszMTOXm5sput8vpdMrhcOiqq67Sj3/8Y33sYx/TRz/6US1ZskTNzc1hDceXv/xlXXfddbriiiu0aNEi897/53/+RyNGjNA//uM/asqUKfrUpz6lBx54QIFAQK+88opGjRql73znO/roRz+qefPm6Vvf+paef/55SZLD4ZDT6VRmZmbMn62joyPquczMzLBGvafa29uVkZERdS2fz2c+31/vBSAcbWbyt5mPPfaY3n//fX33u9+VRJsJJArtZfK1l7W1ters7NRFF12kVatW6f7779crr7yixx57TBLtZToblugbQM/Nnz9f9957rzo7O7V9+3YVFhZq3LhxXb5m9OjRys3NNR/n5OSos7Pzgu+ltbU1LKXGsHz5cn3729/W66+/rrlz5+rmm2/WLbfcEvMat99+uzZt2qQNGzbo4MGDeu+99yQpLD3qIx/5SMx7r6mp0bRp0+RwOMznv/jFL0qSNm/erJqamrDRy0AgIK/XK6/XG7fRNAwfPjyq8fJ6vcrKyurydfGu1draGvda8d6rP9d4AUMVbWbytpnBYFA//elPtX79ev3yl79UUVGReS3aTGDw0V4mX3tZVFSk7du3a/To0ZKkadOmKRgM6rvf/a4eeugh2ss0RoCeQmbNmiWHw6GdO3fq9ddfV2lpabeviRxZky68kMbZs2f1wQcf6Ctf+UrUcwsWLNDWrVu1adMmvfHGG3rwwQfDKk5a3X///dq1a5duu+02LVq0SE6nU5///Oe7vH/j3mP9XIbOzk5dc801+vGPfxz13LBh3f8nn5+frxMnToQdO3HihJxOZ7evjXWtffv2xb1Wfn6+Ghsbo543OqsA+o42MznbzEAgoIceekivvPKKfvGLX4Sl0dJmAolBe5mc7aURnBumTp0qn8+npqYm2ss0Rop7CrHb7brxxhv15z//WZs3b+52bdBAeeWVV2Sz2XTTTTdFPfeLX/xCDQ0N+tznPqennnpKP/nJT/Taa69JUthWHa2trXr11Vf1xBNP6Jvf/KZKS0vV3NwsqWeNe0FBgaqqqsJGQh988EH98pe/1OTJk/XBBx9o4sSJKigoUEFBgd5//3395je/kd3e/X/yV155pXbu3Gk+PnbsmI4ePaoZM2Z0+9pY19q3b5/OnDljHtu5c6d5rSuvvFK7du0yn2tvb5fb7e7TewEIR5t5XjK1mT/72c/0yiuv6Mknn9TNN98cdS3aTGDw0V6elyzt5Z/+9Cddf/31YbPgbrdbI0eOlNPppL1MYwToKWb+/PnasGGD8vLyNGnSpAu6ltfrVWNjo/x+f7fnNDY2qra2Vi+++KIeffRRLVu2TGPGjIk6/+DBg1qxYoXcbrcOHjyoP/3pT7r88sslSRdddJFaWlp06NAhDR8+XNnZ2frTn/6kI0eOaNu2bVqxYoX5nt259dZb1dbWpkcffVSHDh3Sq6++qldffVUlJSW69dZb5fV69cMf/lAHDhzQm2++qRUrVmjUqFGSJL/fr8bGxrjvs2jRIr366qv6/e9/r6qqKn3/+9/XDTfcoI9+9KOSpJaWFp06darbe5Ska665RhMmTNADDzyg6upq/frXv9a7776rv/u7v5Mkffazn9W7776rZ555RjU1NXrooYc0YcIEXXfddT26PoCu0WaGJEub+c477+j555/X8uXLNX36dPN3Zczy0GYCiUN7GZIs7eXVV1+tYDCohx9+WIcOHdKWLVv085//XF/96ldls9loL9MYAXqKmTt3rgKBQL+MbO7evVtz587VsWPH4p5TVlamuXPnau7cubrjjjv08ssv64c//KGWLVsW8/xHHnlE+fn5+spXvqI77rhDfr9fTzzxhCTp2muv1ZQpU3TrrbeqqqpKK1eu1KZNm3TLLbfo0Ucf1dKlS5Wfny+3293tvefm5urXv/61/vrXv+rWW2/Vk08+qUcffVSzZs1STk6O/u3f/k319fX6zGc+o+9///v6zGc+o29/+9uSQqOVc+fOjbvNxMyZM/VP//RPeuaZZ/SFL3xBubm5+ud//mfz+Z/+9Kf6h3/4h27vUQoVC3n66afV1NSkO+64Qxs3btRTTz2lSy+9VJJ06aWX6sknn9TGjRv12c9+VidOnNDTTz/do1FYAN2jzQxJljbT2OboiSeeMH9Pxv86OztpM4EEor0MSZb2cvTo0frtb3+r+vp63XHHHfrRj36kL3zhC/r7v/97SfQx05kteKGLRQAAAAAAwAVjCAUAAAAAgCRAgA4AAAAAQBIgQAcAAAAAIAkQoAMAAAAAkAQI0AEAAAAASAJdBuhf/epXB+s+ACDl0WYCQM/QXgJAbF0G6B9++OFg3QcApDzaTADoGdpLAIiNFHcAAAAAAJIAAToAAAAAAEmAAB0AAAAAgCRAgA4AAAAAQBIgQAcAAAAAIAkQoAMAAAAAkAQI0AEAAAAASALDEn0DQKopd3tUUd2okiKnSl35cY8B6D0+SwCAVMb3GC4UATrQC+Vuj5av3612n18bdhzRkrmT5T7arDdrTsrrD2jDjiNatWgmDTLQB+Vuj76xdpe8/oBeertOq++cxWcJAJAyIvuJ9AnRFwToQC9UVDeq3eeXJLX7/HpmS40CwfPPt/v8WldZS2MM9MG6ylp5/QFJktcf0LrKWkliJgIAkBIi+4kV1Y18d6HXWIMO9EJJkVPZGQ5JoQ+PNTg3vFlzUuVuz+DeGJCGDja2aemLO/XCW7Vavn43nysAQFKz9hOzMxwqKXIm+I6QigjQgV4odeVr1aKZuuu6Ak0akx3zHK8/oIrqxkG+MyD1LZ5doExH6GvJZpMON52R/9womDETAQBAMjLWni+ZO1l3XVdAejv6jBR3oJeMxvb1OLN5NokRU6APSl35WuDK12t7jikYIzslNytj8G8KADDkdVf4zbr2PDvDQXCOC8IMOtBLRiNc39wR83mbbZBvCEgD5W6P7n7ubf3v3mNxz2np8A3iHQEAcL7f19Vyq1hrz4G+YgYd6CVrIxxLICgKxQG9sLKsSmu2HjDT2eM50eodpDsCACAkMvh+vGyf3qk7pZYOnzmjnpuVIYfdJn8gyNpzXDACdKCXSoqc2rDjSFiQbpNkDS0qqk+o3O0hSAe6Ue72aM2WGvkjYvPIz5SQ3yUSAAAgAElEQVQkHTjeMli3BQCApOh+X5WnVVWeGknSS2/XqXh8jqoaWuUPBOWwSUvmTqb/hwtCgA70klEorqK6UblZGWrp8Kmu6Yw2V51PZ+oMBNlaA+iBiurGsODcdu5/AUl2W/hOCQtc4wf57gAAQ12pK19L5k7W2u0f6FR7Z9hzXn9Ae+pPm4/9QZZj4cIRoAN9UOrKDwu+y90evVlz0tzDOdNhJ70J6AHrzITDJrkmjDQ7O4GgdMXEkfJ2BrTANV73LSxO8N0CAIaScrdH6yprw/p4XSG9Hf2BAB3oB6WufK2+c5bWVdZKCm0Xxew50D1rRorRqbFWwl0+/7KowbCuKukCANAfrJXZrYrzc7TANV7uo81m4J7psGtO4Vj6f+gXBOhAP4mcVQfQM5GfHWvAHhmcG52lDTuOsI0NAKDfGQPBdU1nooLz7AyHvrdwmvnds7KsSpvcDWR5oV8RoAMAkkq8wa5Y29gQoAMA+ot1IDjTYVemwx53hrzc7dGz2w6p3efX4aZDmjEpj+8k9AsCdABASrCuV2edHwCgv1kHgr3+gKZPHKVZH8mLuayKQWMMFHuibwAAgJ4w1qvfdV0B6e0AgH5XUuRUpuN8eLS/oSVuzZPcrAw5bKF/M2iM/kSADgBIGaWufK24bTrBOQCg35W68jWncKz52OsPqKK6Meo8I73dH5Qcdht7n6NfEaADAAAAgEI78WRnOCTFnxm3prf7A0H2Pke/Yg06AAAAACh6+8/ImfFyt0d1TWfMAnKkt6O/EaADAAAAwDnxdhOJrPJ+U7GTvc/R70hxBwAAAIBuRFZ5nzTmIoJz9DsCdAAAAADoRkmRs9v16cCFIsUdAAAAALrR3fp0oD8QoAMAAABAD8Rbnw70F1LcAQAAAABIAgToAAAAAAAkAQJ0AAAAAACSAAE6AAAAAABJgAAdAAAAAIAkQIAOAAAAAEASIEAHAAAAACAJEKADAAAAAJAECNABAAAAAEgCBOgAAAAAACSBYYm+AQC4UOVuj9ZV1kqSFs8uUKkrP8F3BAAAAPQeATqAlFbu9ugba3fJ6w9Ikt6sOanVd84iSAcAAEDKIcUdQEqrqG40g3NJ8voDqqhuTOAdAQAAAH1DgA4gpZUUOZXpON+UZTrsys3K0MMb96rc7UngnQEAAAC9Q4o7gJRW6srX6jtnmWvQXRNG6dlth9Tu8+uFt2pVMCZbP/zU5aS8AwAAIOkxgw4g5ZW68vXc3dfoubuvUUuHT+0+v/lcbVO7vv7CDmbTAQAAkPQI0AGklZIiZ9SxoKSfvPre4N8MAAAA0AsE6ADSSqkrX7dccUnU8dqmdmbRAQAAkNQI0AGknafvnKWrCkZHHae6OwAAAJIZATqAtPTHZdeHzaRnZzhipr8DAAAAyYIq7gDS1tN3zlK526OK6kaVFDmp5A4AAICkRoAOIK2VuvIJzAEAAJASSHEHAAAAACAJEKADAAAAAJAECNABAAAAAEgCBOgAAAAAACQBisQBANIWVfwBAEAqYQYdAJCWyt0efWPtLr3wVq2+sXaXyt2eRN8SAABAlwjQAQBpaV1lrbz+gCTJ6w9o1ev7E3xHAAAAXSNABwAMCXvqT+vTT1Ywkw4AAJIWAToAIC0tnl0guy382J7601r24k7d/dzbBOoAACDpEKADANJSqStfy24sjDreGQhqc1Wjlq/fTZAOAACSCgE6ACBt3bewWN+4qTBqJl2S2n1+VVQ3Dv5NAbhg5W6PHt64l0E2AGmHbdYAAGntvoXFmjEpT+sqa7Wz9kOd7ug0n3vv6OkE3hmAvih3e7R8/W61+/zasOOIVi2ayTaKANIGAToAIO2VuvJV6srXjB+XhR0/cLwlQXcEoC/K3R49XrZP7T6/pPBMmIrqRpUUOQnWAaQ0UtwBAEPG9YXOLh8DSF7GzHmVp9U8lp3hUG5Whpav360X3qqltgSAlEeADgAYMp6+c5ZuueIS5WUP0y1XXKKn75yV6FsC0EMV1Y3mzLkkFefnaNWimWrp8MWcUQeAVESKOwBgSCEoB1JTSZFTG3YcUbvPr+wMh763cJqZzm49XlJEZgyA1EWADgAAgKRX6srXqkUzo9aaxzvelXK3hzXrAJISAToAAABSglHwsafHY6EKPIBkxhp0AAAADBnWteysWQeQbAjQAQAAkDbK3R49vHFv3GruJUVOZWc4JIk16wCSDinuAAAASAvW9PV/f6tWfxNjt4a+rFkHgMFCgA4AAICUZhR9q2s6Y6avByW9tueYVpZVacakvLCAvDdr1pG8KPaHdESADgAAgJRlnTXPdNhlUyg4N7y8+4ie3XaIonBpptzt0TfW7pLXH9BLb9dp9Z2z+LtaMHiRuliDDgyScrdHn36yQnN+9rpWllVd0HW6WlsHAMBQYi365vUHNGK4I+z5MSMyKQqXhtZV1srrD0gK/d3XVdYm+I6ShzFo9cJbtVq+fjd9xhRDgA4MgnK3R8te3Kk99adVf6pDqzfX9ClI76rBjRW49yWYZwAAAJDsrN9V1qJvktR61q9hdpsmjsrSN24q1PL5l1EUbgg40Xo20beQNNipILWR4g4MgorqRnUGgmHHNrkbdN/C4l5fJ7LBLXXlx9zTVZJ57MW3anX5xJFaPv8y8/xYaU/xrkOKFAAgWcT6rlq1aKYeL9unKk+rJKkzENR8V775PUtRuPSzeHaBKqpPmP2rqoZWlbs9/H0V2qlgw44javf5GZRKQQTowCAoKXJqXeXhsCB9gWt8n64Tq8GNN1JqHAtI2lN/Wt9Yu0v33DAl7lq8yOusq6zV9oNNrNsDACSNWN95K26bLun8wHRkUEJRuPRT6spXSdE4ba4K9Xm8/oA5cTHUsVNBaiPFHRgEpa58PfPFq3TFxJGamBdKuevt7LlxnVWLZuqu6wrCguXIPV1zszJU13Qm6gPu9Qe0/u3auGlPuVkZctht5nWMc2KdCwBAIsTbxzzedyTS1+LZBSxfUOzliaWufK24bTqfgxTEDDowSPpr9D7WdawjpblZGeYM+TC7TcFgUEFLdn1Tm8/8d6bDbn6ZrSyr0potNfIHJYdNWjJ3siTpjf2N8gfDv/ioDAoASJSuZgeZKR9amCkOX/Lx0tt1mlM4VotnFwzJ30W6IEAH0oTRKXl4415z1rszENQVE0fqYGOb2rz+qNfMKRxrrkl/ZkuNjAx8f1ByH23W9oNNoYDdbtOSuZPNc9nWBACQSATiMAz1/xYidzHYXNWo7QebyCJJYaS4AymmuyrrJUVOZTpCH+1hdpuqGlpjBufGOeVuj9ZV1spaw85oGIwG3x8IqqUjNPPOtiYAAADJITcrQw5b+DGWJaY2ZtCBFNJVGpORdp6blWGeHwgE1anzkXdxfo4WuMbrjf3HtffoaW2ualRF9QllZYSP1U0ak63FswvMAnFDeV0XAABAMip3e/TstkPyByW7TbLbbOoMBOm3pTgCdCCFxEpjerPmpIrH5+j9Yy3qDARlt8mcDQ8olJ7uDwSV6bBrQl62JOm9+tNm2N4ZCKr1bPgM+xRnTtx1XYtnF+jNmpPy+gPKdNi1eHbBYPzoAAAAQ561DpC1XxgISpeMHK7LxufGnLxp6fAN2XX6qYYAHUgh1m3WDF5/QHvqT5uPA0HJJimoULG3hZePV11Tm947N2O+papRwehLm+ySXBNGSYpfkG71nbOGdEEWAAAwNEQWxk1koVxrJuWGHUe0ZO5kZWc4zH5hfXOHms74tHh2Qdi5BrbMTQ0E6EAKMWa111XWmrPY8dhtoWJvm9wedfoDMs7sKjiXQrPuz247JEkxR1up4A4AAIaCWAGxsVNOIoJd64x5u8+vlg6fVi2aqcfL9qnK02oeN9afW4Nz63Ox7pn+XfKgSByQ5CKLwpW68vXc3ddo9Z2zdMXEkTE/xEGdT3P3WoJzqxGZjrjv2e7za82WGr3wVq2Wr99tvrfxRRV5HAAAINEi+0zxCut2V3DXEBkQb3I3hD0e7EJsJUXOqH3fS135+t7CaVHHreca4q1Np3+XXJhBB5JYd1ua1RxvU0ChlPYpzhH64OQZc725JHOdeCAYVGcgfO58XvHF2rzveNToqsF/7nTraGvkF1W8UVgAAIDBYuxIY2QXdjXb3Zt9w40K6f5gKLhd4Bqvw02HElZAN159oHjHjWPdrUGnf5dcCNCBJBZrSzOjwbQ2pkFJH5xo09IbC+U+2ixJys4cpgPHW7TANV7uo83aXBU+ytvu7TTT5SuqT0QF8Fa5WRkqd3tU13RGmQ67vP4AFUIBAEDCxVpr3e7za+32D2IGnT3dN9xaId1ht2nJ3Mm6b2GxZkzKS2gqeLx93+PVDerJPVprHNG/SzwCdCBFlRQ5tbbysPznAmt/UHIfbTa3RjMcOnFQ99wwJWrN+ps1J+WaMEqTxlykv583VW/sPx5WbM7KfbTZHIXOdNh1U7Ez7mgzAABAf4u3RtoacFudau80/20NOmMV3I01a2y9rj8QNCdAehr0ppJ4M/BIDNagA0ls8ewCM109ckuzUle+ls6bKoct9Nhht6mx1Rv1JeX1B7R1f6NW3zlLE/Oywo6v2XpAL7xVq9+8cVBNbd6493Gi9WzYaPOkMRfReAMAgEHR1Rpp61rrTIc9rK8jScX5OWGz40YwelOx0+xjWQN4Y316blaG+bwUmthI57XZpa58rbhtOv27JMAMOpDEutvS7L6FxZKkZzbXyB8Iat+x02YKutV79c1aV1mr22deas6EO2wyZ9+9/oDqT3XEvY9xOcPNbTxIfcJQZKxvlJSQ7BGq6wIYyrpaIx05+yvJTHl32G2aenGuWczN+hpjPbrRtkvh6fLZGQ4Vj88xswu9/oAeL9sXdp1ItNXoDwToQJLrLpXqjf3HzSrtnYGgrpiYq3E5w8PWnAclba5q1BvVJ7Tw8vEal5OpE61e/e+eYzErvFsZM/eLZxeEfYkBQ4W1WKMUmkWJLNh4ode3diwjC/pICtvmhz1sAQw13a2RjuwrLZk7WWu2hCYvXttzTFL8PcCNpYHbDzbp2iljwgYCxuUMD5v4qPK0avn63TGvE7klG201+ooAHUgxkZ359yLWjY/LGa7Fswu0dX+jIuu++QNB/e+eY1p2U6E27DgSFZzbbdIwe+iLyG6TXBNG6Zvzi1TqytfKsiq9sb9R/qBiFlMB0lVFdWNYVorXH+i3CreR1YSN6xs27DgS1WGkui6AoSbWLPnDG/fGnalu6fCZu9EYultnbvy/NWPQNWGU3qw52e11Yl0rVISX2XT0HgE6kEIiR2evnTImLMi220LptxXV0cG5ISDp5d1HotaqO2zS0hsLNWNSXlQqb7nbozVbD8Tceg1Id7lZGWGPh9ltF7TMwzrIFllNOFK7z6/GVq8cdpv8gSBLTAAMGZHp4ta09O5mqmMVgst02FVS5Ay7bm5WRlj7amQMGs9bd9MxxGuHrdfKdNjPFedtZDYdvUaADqSQWCO9RuqVXdKyGwvNL4CX3q6L2eGXJIfdLrtNZhBvjwjOjYrvxkx5RXWjuV5dCgXzBAkYKlo6fGGPS4rG9bmjZe1Yrq08rIWXjzdna4xiRNbPbabDrv0NLfIHgrJLmnpxTp9/DgBIFV0F4T3Zs9uYcbduJRsIBrXq9f2qamiV1x8ws5b8gaActlBavHWNernbEzZ7brdJl4zK0u0zL42Z3v7stkPmtS4bn6u99c1d3iMQDwE6kEIi12BZU6+GOeyaMSlP0vnicsZMuGvCKP1q6wF1nvviaGjuCJthDwTDt1IzGF8q1vd12G1aOm8qXzQYMiI/d9bdFHrKmLGpazoTtm1P2d5jWnpjodxHm3Wi9ayCssmmoE63+9QZCGrMiEyzQFFA0t76Zi1fv1tL5k4216jzWQSQbmIF4cbxE63hu85EZjlZZ8gnjblInec6PJ2BYNh2stbBUH8wejA2cnlTICjVn+rQs9sOmf2tWNlQ/qDkzMmkuC76jAAdSJC+VIWOXINlTb2KXBdrLZhS7vbIbrNJCiqo6FRaY3uSyLR340uF/TExlF3of//WmaBMR3j2ij8YKvT4Xv3pmAUbjzVH767Q7vOHih8F4xc9AoBUFjkwmpuVcb4yuy38XPfRZnM9uhReVHPJ3MlmoBzJmrUUK4iOlSYvnV9fbhSXi3yfWKnytNHoDQJ0IAEupCq0dQ2WNfXKWFsVi3UUOBCU7JIZDNgVSuuaMSnPTG23HpfOF2JZcdv0Pv28QKrrbjeFrkSuM58+cZTeP9osfzD0uX3vaOzgXFLMWhLGGkeJ1EkA6SlyYDRyhtpoB+02mSnssYpquo8269opY9TY6tW+Y6fN2XRJWuDK12dmTowbRBv38HjZPlV5Ws3jxgCB9X1aOnwxB3Jpm9EXBOhAAvRHVejIa8wpHBv39ZEj0YUXjwhLm23p8KnUla85hWPN7dkCCk97Z6YO6B0jzTI3K8OsFZHpsOub84skSesqa7Xf06L6U9Gz5PF8ZMxFGpmdof0NLeb16prOqNzt4bMJIOXFKgxnsPZjbpp2scr2HpM/KAWC5wcsJYXV9TAmHrIzHJqYl63apjPm9f53zzF9ZubELicfjPe37qu+dN5UzZiUZ86gW7MNaYfRHwjQgQQoKXKGFXHrava7q2v0ZF2s8WVnXbMqnf+ysaZ1LZ5dEPaFIylqDRhfPkD3ItPajQ6klfFZs7LZpEmjL9JhSyfSyjhut4XWOJ5s82pzVSNbHwJIeV0Vhou1xC9yGzUpVHPHSC2vazpjTjq0+/xqORu+xjwgxezXxBokiDU7ztI/DBQCdCABIou49XQNeuQ1uvtysH7ZZWc4wr7s4qViRe4zGjlCDKB78bZPM7JlpOiaD5IUDEpTnSPU0NwRdxcGKZT63mgplMQAGoBU11119nhL/KyMjEDjPKMPk+mw63R7Z9i5sSZHYg0SGPcWa//1eH0vAndcCAJ0IEH6IxWqu2t09WUX77WRxxkhBnrPmuESrxBRvOetuzP0RmQlYwBIJZGZgT2pqyPJLLwZ+ZpSV76WzJ2sTe4GZQ6zh1VwnzgqS4/cNj2sX1Pu9ujxsn1h/SZrMThjWzavP6C1lYe1dN5U3bewOOzeerJHO9AdAnQgjfX0y64rrKkCei8yG+WdulPa5G7QAtf4sCwW61aIxhIU6+4MvRG5RRAApJKe7pgR2beJt+2ksTe5MRBq1ALJznCEBeflbo9Wvb4/VLDTkjZvDJ7GyobyB4Jas6VGksLeuyd7tAPdIUAH0hjbowGJYwxurSyr0pqtB+QPBHW46fz+uesqa80CRsYacklxZ88dNpmV3+cUjlV25jCVvdcgfyDIEhQAaaEnkwLWvk1uVkZYfZ27n3tbUmjp4LrK2rDgemJeli7Lzw1bVhi5q45Vpz+g7MxhYUXnOgOBsG0yI7e87I+JEYAAHUhzzIADiVPu9pgdOOl8yqR1S0Pr8f2elrDjNklBhYLy4vE5GpczPKpzaXRSjbXtfN4BpLvI6uovvV2nQDBobqNWUX0i6jX1pzrU1OYLK6obmS5vFZBU9l6Dls6bKvfRZkkKDYyeqx4fa8vLFbdNZ2IEF4wAHQCAAVJR3RhWadhht+lE69mYHcKt+xuj9j132G362CW5qmpo1Z760+aODdYiRLlZGeYMPWseAaSryOJr8YpxSgrb79wqMu08Vu0OY2BUCqWyu482hxXMXXpjoVo6fMrNyghLod91+JTufu5tLZ5d0OXWbUB3CNABABgg1nRHuyTXJbkKyhbz3Fj9yc5AUN7OgNn5jFW0qNMfkNE1Zc0jgHQQGYzHKr4WWYzTOoNuP9fMxmpXrWnnkbU7bip2yjVhlDnoGWvL2ZYOnxmAz5iUp3WVtaqoPqG99aFZ9jdrTmr1nbNoh9FnBOgAAPSjyI6lUQzuzZqT2lN/WpkOu2y20JZq3cl02JUxzBFW3EiKXbRICs24s+YRQCqLFYzHKr5WUuTUtVPGSJKZtr6uslYnWs+qqqFVXn8gbDZckm654pKwwDlyBt01YZTuW1isGZPyerTlrDGTb52xN7bTJEBHXxGgAwDQT6wdS+s2PKF1jqE14l5/QGNGZOhUm0/xarUPs6S2761v1jC7TRNHZen2WZdqxqS8sL19jWs6bNLSeVPpFAJIafGCcWvxtdysDLOtNZb+GDV3Ht6419xSLSipYEy2sjIcWuAaH7UtWuQMuvG4N1vOlhQ59dLbdeaAaaz91YHeIEAHAKCfWDuWxjY8MyblhXUuJampzSe7TSoYna26pvaoQL0zEFRTm9fs8HUGgqpv7tBv3jio1XfOCussGu9LQSIA6SBWJfTIXWm62s4sMmA+1nw2bsp5T6uud1Vwt9SVr9V3zjK3zbQW8gT6ggAdAIB+UlLk1NrKw2ZlX39QYZV9Hy/bpypPq6TQ2sgjH7br/1xxibldmiHTYdex5o6o63v9Aa2rrNVzd18T1gGkMwggXcTbIjYySI4XWJe68jWncKw2V53PWoqXct7T7Wgjly7Fuo4kczcN4EIQoAMA0E9KXflaOm+qubWateNodOD+/t93hO2jOy4nU2u+eFXYnr51TWfMziUADDU92SLWuv488tzFswvirhvvyXtZA/J36k5F7Xce6/zIdfMMnKKvCNABAOhHkQWGIjtpdptNgXMV4iLXKs6YlGdWLI7cK9043zVhlB7euNe89sqyKm1yN8RcXwkA6cYaDBvrzyP1dGa8u+u/9HadOgMBc1A13k4ZXaXcA71FgA4AQD/qKhUystrvnMKxkhTWGbxsfK6cOZm654Ypch8NbdvjmjAqat/dDTuO6KZpF+u1PcckSVWeGkkiSAeQ1noaDHc1C99dOx13pwybYs7G93Qte0/eHyBABwCgn8RLczQ6Y7lZGeaWaZkOuxbPLtC6ytqwzmBXe+k+vHFvWMf0LzXhafCb3A0E6ADSWm+DYSk8IJbUZTp6ZFFPg90mLb2xUJLCspik3s3Ykw6P7hCgAwDQT2LN7EjnO4OZDruZ3i5J79Sd0ps1J2NeK1Zho8iO6fWFTnMGXZIWuMYPxI8FAEmjt8Hwuspac8nQhh1HdO2UMV3OwBvXtxb1lKR5lzk1Y1Je3OC6J+vmJdLh0T0CdAAA+kmsmZ146ZJef0Av7z4SlUJpGGa3qa7pjMrdHknnt1KL7JiyBh29RXotUl1PgmHrTLXB+Hd2hiPmDLz1s/G9hdOi1rr3R3DdlwwADC0E6AAA9JN4MztGZ8yYQTfWocfaSk2SxozIUGuHX5urGs0ZdmP2Z9WimVpx23Tz3PsWFhOYo8dWllVpzdYD8geCpNcirVmDaYMRaBvBtrWdjpV63lV73tfgOt73BANnMBCgAwDQjyJndiI7Y+sqa80t1Cz14kzZGQ5deWle2B6+hnafX+sqa+nEoU/K3R49s7lGxn9RpNcinVlnqu026fIJI7V8/mVhKelWsWbHV9w2vcv2vK+fncjvCdalw4oAHQCAARbZGTP25x1mtykQCCqg0BZqcwrHmlsGGedkOuySZBaWC62lbKQTh15bV1kr64IKe5yK1EA6KHXla8ncyeYe5jXH27o8v6ep5z1da94brEuHFQE6AACDyJiBMQoXdSooh92me26YEpaqbp2lkUIduLqmM+bMujGbTicOfeWaMCpslwHrf2tkaCAdtHT45O9mD3NDf82O9wXr0mFFgA4AwCArdeWrorpRXn8o2PYHgtrkbtCMSXlR6ZdGZ3HFbdNV7vaY1Yil0FZs5W4PgRR6ZPHsAvO/n0yHXd+cXxSWWruu8rCZ0UGGBtJBbwPfgZgd74lEDg4g+dgTfQMAAAxFJUVOZWc4zMdVnlYtX7/brNpuBE4vvFVrHi915WtO4VjzNcZWbEBPlLrytfrOWbrrugKtvnOWSl35WldZa6bWdp4LzqXwbQKBVGUEvnddV5D0A06lrvyoNe8YmgjQAQBIAKPjWJyfYx6zBkXx9lRfPLvADOy7mhEqd3v08Ma9ZsAPSOFBgJGREYuD9elIEwS+SDWkuAMAkCBGh9G6164RFOVmZYSdazzuSSqkNW15beVhLZ03la3YECW0zCIQ87mF0y8hoAGABCBABwAggeIF3C0dvrDzrI+7WydpnX33B4Jas6UmbH07IIVmyNdWHpY/xn5/43IyE3BHAABS3AEASLBYKZjWNeq9repbUuSUw24zH/uDYj0xopS68rV03lQ5bOHHqSINAInDDDoAAEnoQqr6GoGXsf8vARfiuW9hsWZMylNFdaNyszLU0uGjijQAJBABOgAASepCtvyxBl4EXOhKoraWAgBEI0AHACBNEXgBAJBaWIMOAAAAAEASIEAHAAAAACAJEKADAAAAAJAECNABAAAAAEgCBOgAAAAAACQBAnQAAAAAAJIAAToAAAAAAEmAAB0AAAAAgCRAgA4AAAAAQBIYlugbAAAAANJZudujiupGlRQ5VerKT/TtAEhizKADAAAAA6Tc7dHy9bv1wlu1Wr5+t8rdnkTfEoAkRoAOAAAADJCK6ka1+/ySpHafXxXVjQm+IwDJjBR3AAAAoJ8Zae25WRnKznCo3edXdoZDJUXORN8agCRGgA4AAAD0IyOt3QjKl8ydrJYOH2vQAXSLAB0AAADoQrnbo3WVtZKkxbMLooLsyCJwkWntLR0+rbht+qDfN4DUQ4AOAAAAxFHu9ugba3fJ6w9IkiqqT6ikaJwZqFtnyzfsOKJVi2aqpMipDTuOkNYOoNcI0AEAAIA4KqobzeBckjoDQW2uatT2g01atWhmzCJwK26bbj5HWjuA3qCKOwAAABBHSZFTmY7oLrMRjJcUOZWd4ZCksNnyUle+Vtw2neAcQK8QoAMAAABxlLrytfrOWbqp2KnpE0eZwboRjJe68rVk7mQV5+doydzJBOQALggp7gAAAEAXSl35ZuAdWRCu3O3Rs9sOqd3n1+GmQ5oxKY8gHRbJ1ogAAB2cSURBVECfEaADAAAAPWQN1iXFXINOgA6gr0hxBwAAAPoo3hp0AOgLZtABAACAPip15VOxHUC/YQYdAAAAAIAkQIAOAAAA9FG526Pl63frhbdqtXz9bpW7PYm+JQApjAAdAAAA6KNYReIAoK8I0AEAAIA+okgcgP5EkTgAAACgj4wicesqayVJ79SdomAcgD4jQAcAAAB6qdztMQNxSdp+sEntPr82V4VS3DfsOKJVi2YSpAPoFQJ0AAAAoBeMwnDtPr827Diia6eMMdehG4z16AToAHqDNegAAABAL0QWhpNkrkM3sB4dQF8wgw4AAAD0QkmRUxt2HFG7z6/sDIcWzy7Q4tkFqqhuVG5Whlo6fKxBB9AnBOgAAABALxiF4SKLwRGQA7hQBOgAAABAL5W68gnIAfQ71qADAAAAAJAECNABAAAAAEgCBOgAAAAAACQBAnQAAAAAAJIAAToAAAAAAEmAAB0AAAAAgCRAgA4AAAAAQBIgQAcAAAAAIAkQoAMAAAAAkAQI0AEAAAAASALDEn0DAAAAQCood3tUUd2okiKnSl35Cb8OgPRDgA4AAAB0o9zt0fL1u9Xu82vDjiNatWhmn4LryOssmTtZLR0+gnUAkkhxBwAASLhyt0cPb9yrcrcn5uN452HwVFQ3qt3nlyS1+/yqqG40n+vN3yXyOmu2HtALb9Vq+frd/F0BMIMOAACQSLFmVJ/ddihqpra/ZnDRNyVFTm3YcUTtPr+yMxwqKXJKij2zLslMYbf+u9SVH3Ydh03yB4KSzgf9/E2BoY0AHQBSFGsYgfQQOaO6yd0Q9vjxsn0xzyOYG1ylrnytWjQzqt2N/Lusq6zV9oNN5/59WIFAUAEpLHgvvHiEmtq8unLSaG3edzwq6AcwdBGgA0AK6m7Ghk47kDoiZ2YXuMbr0ImD8voDkqQqT6uWr9+tm6ZdLIfdJn8gSDCXIKWu/Kj2NfLvJ8kM2DvPzY4bx9ZV1urNmpPm37axxaN7bpgSdw06A7HA0EOADiAhyt0erauslSQtnl1Ap6SXImdsVr2+X+6jp+UPiqJDQAox2rqbpl2sA8dbtMA1XjMm5UWd1+7zq2zvMfmDksMmLZk7mc92koicWX+n7pQ2VzVGneewhf7fCM6Nf7d0+LTitulR57OkAeg7az9SSq0JjLQM0OnYA8kh8rNoPM7NytBv3jg/O1RRfUIlRePMQJ1OSWzW36d1xibTYdd7R0/LmKhp9/m1ZkuNGazz+wOSU7nbo2+s3RUWsNUcr9HHJowKOybJnDmXJH9Qaunw0d8ZZLF+39ZjRpBtDD5bOew2LZ03VTMm5YXNoGc67DEzIcrdHj1eto8lDUAfWPuRL71dJyk0GJYqfaK0C9CtX3YvvV2n1XfOSvo/ApCOYhU9MoJyuyRr17MzENTmqkZtP9hkzkLQKQkXa9DC+F3VNZ2Jmq3xW4J1fn9AclpXWRsViPuDkvtoszIddnn9AWU67JpTOFbZmcPMGfTsDIdyszIYyBxE8ZYVxTr2Zs1J83XD7LawAWhJuueGKXp51xGNzhmub84viplBZlzXwJIGDGW9HYy09iOtbay1T2SdNEq2jMO0C9CtX3Zef0DrKmuT5pcNpDtrAxoZZL+864j52QxIskkKRrzeaDgj1/PlZmXo4Y17k6rxHCzG77Su6UzUoMWK26abXzJbqhqjfp8SnTogmfS0kxkISnMKx2rSmIuUm5Uh99FmbXJ7Quntdpu5hIWBzMETb4u1WMesAUFJ0Tg9d/c15uNyt8es0N90xtfte0lScX6OvrdwGn9fDEl9yarMzcoIezzMblPnudoduVkZuvu5t8MyWaTkyjhMuwAdQGLEmjHPznCYQfbonOGqb+4wz7cGk3ZbqENqBJPW9XzWdPihlhVj/Z1mOuzmjFqsoNtmk4KWX+pU5widbD2rqRfnmp3GofJ7A5JRrE7m4tkFqqg+oc5AUDaFPseBYCjtubHVqxOtZ1XV0BrWifQHguZsT6wtv9D/yt0e1TWdidkGRw4mW7MfsjMcWjy7IOw6sdLWpfjbsGVnOAjOMaT1JauypSN88KukaJw54GkMkEWKd+1ELCVKuwB98ewCc0Qk02EPaxgBDJzIBrSlw6clcydrk7tBC1zjJUnu+mYFYrw2EJSumDhSy+dfZjZ+RqXcu597e8hmxUSmaE0claXLxueaqZIry6q0yd2gpjavAhHT5wca2yRJO2s/1M7aD5NqZBgYimJtxWWV4bDrnhumyH20WRXVJ7S3vjnmdRx2mzk7dO2UMZJiF9pE/4gcKL2p2Bn2+za+56ZenGt2/K3nSdLDG/fGDAy6WqoQazs3YCjqy2Bk5GuMz+zDG/fGDM6l2BmHidoxJ+0C9FJXvlbfOYtGDRhksdLSjc7I/uM1UjA0ax4rtV2S9taf1jt1p8I+s+Vuj/Y3tAzWj5B0rL9TSapv7lDTGZ8Wzy7QyrIqrd5c0+NrkQILJFZkyqUxc27w+gPa5G7QhLzssOMGI0XTHwhq9eYa87HDJrkmjOKzPUAiB0onjbkorECc8T1X7Wk1B6CN86Tza9QdtvO1QQxdLVWw7rEukQGFoasnA1aRs9zxXhNZYHdO4Vi5JoyKuwY91sDq9oNNZvG5OYVjB2SA1PHII488Eu/J3/3ud/r85z/fr2/YV+Vuj57/ywfqDAQ11ZnT5blTnTm6adrF3Z4HoP9MdeaoeHyuRl+UoaXzpqr6eIt21n4Y81yHLXaQvvODJm1636Nyt0fVx1v16GvvR63R+78fn6A5heMG4Ce4cP3dZhq/0/0Np3WyzSspVFBv9EUZ+p89x9TS0dnjaw2z25R3UYZGDB9G2wgkQNl7DXr3yPlZ8RgxuE62eXXkw/awgcxhdpvmXeZUS4dPZ7z+qNcHJe06/KFcl4zUwca2HveVEi2Z+phd6QwEtcntMdevXjtlrMrea1BnIKiK6kbze8765zTa2z31zao+3mo+b4u49scuyVVJkTPm9XfUfqhHX3tfO2s/1Ca3R8Xjc5P+bwoMlK5iO2OWO/KzYrzG2i6WuvLNvuqyGwv1nZuLdcbr1+GmMyoYOyLq+pGf/0tHZ5ufaX8wqA9OnhmQz2dKzKDHKw7A9iJAcrGO+kvS2srD5rZAVs7c4Wps9UY9F5C0p/60JGnr/saYHdhN7gZJSrqKmwPF+PmMNtBIwdoSY4/drvgjKuWn++8NSDaRMzeSzOV4OVkONbWFBiMjZ88n5GUrO3OYGlu9ca/tDwTDZnZY0tJ/ImuiGDPmkbVWrALn2ltr7ZBMh12XjBquuqZ2BRS/5opxfeuMOxlQQHyxZrmt+5/HiiGtWTCR9ZOs/cvImXhJZjtrGIjPZ1LPoBuz5m/WnDBHKzoDQbV2+DRi+LCYoyUAEsv43BaMHaFLR1+knR80Rc2Wt571hxU0iyUoya7omfaTbV79vw+a9O6R5qT77A9Um2nNTrh2ylhVH2/Rh2e8Ot5yttfXMmbgb5p2cb/fJ4D4rJ/jZTcW6v9+/BLz3+8fOx3389zc7jP7QPFEzuykwuc80X3M3jBm4sreazBnzDsDQX3sklwtnTdVH5xo1YmWswoqVCPAGGPxB4O64bJxmjxuhOqa2tV0xiebTZo+caQeuTW0Z7rxffm1kilh1zeuFTxXQHXpvKlJ810HDIaeZk9bZ7kzHXbVNbVr1+FT2uT26MMz3i7bxZ+86g57ftfhD/VO3amYM/HGv4vH56q1w6ejpzrkDwYH5POZtDPokUU5jLVW0vn9JdleBEgu1s/t2srDWjpvqn511yf0k1ffU21Te6+uZbdJeRdlqqkt/qzRUPrsR86kZzrsZvX77tht0jB7/ArwAAaHdV2xdU16c3vPl6tEskkqvHiEXBNGmTM7fM4HRrxiVTXH2xRQKKBeePl4bXJ7zFlz14RR2uRuOL/NaFByHw3VXDFmy421rK4Jo8J2P4mczQOGit5srWad5a5rOqPNVee3QDzRejbsM2VssSaFancYMaUUmhQyMju76l8aM+sDmcmdtAF6ZFGOMSMyzPQvrz+gg42tYb/w7r6ISIcHBp71c+sPBLVmS42W3lio4y3xg+x4glJYcJ7psCsQDIalf2Y67EOqExrZLt5U7NSJ1rPaW386KtPAGOCYmJel5fMvM19PGwgkjrXTadiw44iyM+19vmZQoaVBNcfbCOgGWKzCU9aq0P5AUO3e84MtPn9Av9p6IGrZgj8YWq5lbc83VzXqzZqTuueGKfwNMeStq6zt1USsNWi27m9e1dBqfqas2/ZK0taqxrCdhS6fOFI1x9t6HFtGLuvsT0kboEeu1TodMbpc29SugjHZmuLM6bZ6Xl82uAfQO8Y+sdZZ3chOSG9YU+CL83P0vYXTtK6y1hwZlaQ5hWOH1Gc51rYh6ypro4LzgjHZqj/VoaY2r1rPFZIbyC8SAD1jHWQztPv8Krx4hDkJYTUuJ1NXTBwl14RRch9tNjueRrGxYMR1Wjp8WnHb9IH7ARDVlkb2V/c3tJgBQFDRNQWkUMr6Atd4HW4K33bN6w/IfbRZz919zYD/HECyMoJsQ28mY0pd+ZpTONbsK3r9AXPA6/GyfeZnU5KZ9eI/VwAumSYzkjZAj5euYFXb1K76Ux3/v737i43qPPM4/psZz2CzNsYEY8AQqwHH2QmoAaplu4lDULBc5aKNsleBbaVUWq0panqz1t5FqHvp3gSJxKvdJNo0kEhV06RatetOkKEkm4AS2FXIKIPtIAMmGZy4MTZgbM+cvRjO8TlnzozHxvPX389N4j/DnLF93nmf933e53E8xmTfMV9Mg3sAubMvglX5fZJhWEVwvCYhC1ETDOifOx9SR7hJvzs/4vi82WN2ufAqVuJIz/JJB5/Yqui1cetIwXQiqRdPDDDmASXA3TpRkjUx/N8r3+qd81d17dspK/AeuzmtmlCVotdS1d/NPulmoO6/G6knjeWXUVQqzHH5+JlhfTD4jUbGpzy/zytl/ZHNq3X49xccc9n5kBGKSnd6YNQRSM+3GWPeE3XVQU1MzaQd96mrDqZlLkmpMXNfuElD1ye0L7zeeo6F3Ff5uh9LNkC3v2BJ+vPF0bT+kVJqZdKsTGwOfNmqbHIuC1h69kWw2aShvW2N2rxmpWMScvzMsC6MjOvG1IyCAb8m78wfsLesWalVNVU6fmZYvzs/oj98+qX1tb0PrVuWkxP7GdYrY7ccb2I1Qe802ejIuCLReM4/r56+mN45d1UNtSv0iydbl+XPGcgH+yLb15PTjolhR7hJE1Mzev3DYev7k4Yc494Hg9/o0a33Oc4zu1t3ofA6wk13g4r0zaQqv0/trWs9sz3Njw8dO2edWc+28JwtI5TAHZXCK1vQSyQatxbGnHMh52KYO3OpeXW1HmyqU3hjvRUvXh67pEc2r8642Zup93q+MrRLMkDv6Yup99SQEknDesFdT2y1Pufl9kxCL58cVNKQI8XWTPmar8E9gMXzGkzd95l9AL0zm9tu+vDYrYxfG7o+sfgLLmPuAppmCx9Jujmd1NH+QT21fYNjHExKOWcO9fTFdLR/UJI0Mj6lrl9/rN4ff49xE1gi7oKP9olhe2uj3jp7xTHZtDM/b7/vDdvXyBAsnvbWRh37aDhtM8nv82U9itkRbtLRAztzmqNmygjlKCcqiVetBzeveh4mr+M+9jnq4R9uS6sf4c6wnq/9mpT5flwKi69KkieRaFy9JwfTquh1d7apa88WtTXValdLQ9qF+2SbjBpzL8zeZ/KXP9rGgAXkgTmY/uT7LWkTg0g0nnbux4tPUmNtKOfn3LKubrGXW9bshVOmE0k9uvU+ra5xrrUOXZ/QD7ZtcHzOXjE6G7PPvClhpJ7TSyQa13OvndVzr51VJBrP9SUAy57XxE6aC9Za1tRkfGxNqEpt69Pb+ZAhWFwd4SZ1PbFVAb8zp2E6kcw4htofm8sctb21UTXBgCTn7zvT3xNQrua7J7zqeZjcY2GmOWpddVABn/dj3PdU78lBvf7hsJ5/87w138n2+HtVcjvopwfSU9k/u3ZDO//1T2kFVMx2FrenZ9POqIeb67Xz/tXsmAMF4i6ckyn1yItf0sG9qbPTXvUmpNSO0fZN9VaP2P7Pry8obbvU5ZKe6FU4Zf/uFoU31lu73pK0L7xeE1PO8dL9cSb7wusViw/O+32RaNxKy5RSGRJHD+ysmN8HkE9e7brMMVOSHmiszdiasu/ClwpvXOX4XHN9tQ6zCVF03Z1t1pGu0wNfO9oDL8X7VaadxUzt34BKZf+b90navGaltjXXW8eGJOmFdy9Y94l7jmpla9/NvN6yzrnoWVcdtArImf+VnAtgr75/SQkjFY/+9LHvVPYZ9PbWRh07c9mRym5OyN0SSUNra0O6Muas8O7ziXOTQBFlSj1qrq9WQ+0KNdaGrKrEkqz0v56+mE7GRq2UzSq/T3+9oU5ra1do/+4WnR4YtcaDSin46F7IyJae6C6cYmYcdHe2SUrtfu8Lr1d3Z5si0fiiJmzdnW269PVN69xrpjOR7mshvRbInVfBR/uCV5Xfpyq/z7MCeMKQ1tausNLcQwE/wXkJMQOB514766gkvVTjo1dHjlxSgoFK0hFu0t6H1ukPn34pQ9LlsVu69u1tzSYNDY0OKWkYShrynFNZ2dq2zOsLI+N6/s3zOvLsDkl3g++koYBP6nx4vfo/v+6YT7nbCue6CZKrkgvQO8JN6tqzxfGDy6TK79OVsVsanXT2WN62cRWDE1BEXqlHNcFA1klkJBrXq+9fkqHUamZ4Y73nQlsl7RJ4LWRkW3hwV4AeGZ+y3lC6O9usQF26twnbSwd2zruj397aqDc+GpY9fvh6cuH97oHlyh5ovfDuBceC12zSUPPqas/q3lV3U6jpl13a9u9ucVSSzvf7Fa00sdy4axGZC5r2hU2vOZVXtrb9e83/l8wF0ZDnfCqf89GSC9CluRQhs8qpvYKpnVnBPRTwWyvNfp/0+IPrCnzFAOzcfWEf3XqftUueKfCzB/VJQ9p5/+qK3yXItJCRaaA3X/+v+j5XLD4pKXtAfy8Ttlwea7je4Po++6qijh0AheIuDhcK+PX0jk369z9/oelE0grKZ5OGo3sNxcBKV6W9XwGlxn0kz14c1xTw+6w5lb0dm9ndy87eqtIefNdVB9Pu43zf3yUZoEvOyeHPjp3LGKRLqdShxtqQRienlTSk3lNDkuTYTQJQOJkGrmyVZnM9Q1dJuwTZFjIycVeALkYmQSQa1+HfX5B7ATqRNEhzBxbBLA5nnkE3jwAl766CmemadpVyzKeSVdL7FVBoPX0xx9E9N/NI3h/vprn7fT6tDPl1805ChqSAT+rasyWt00FNMKC9D62zHmey91s357B11UFrofSts1cctXbyeX+XbIBu99KBnerpi+k/Tg/pzqx33rs9zT2RNNR7cjCtnx2AwvEauLK1pFiOuw2Lfc3F/Flla21SCccOgELwyiQyx0yveyxppCab9rRM7jcAlcre8tXcJfcK0tfWhqwgezZpaPJOatz0S+p6Yqv1GPf8c+j6hCM4D/hk1duxLwxEr41bmU3TiaT+5bf/J+m7eZ93lUWAbp5NzRSce0kYuff9BVAY8+2SL8fdhsW+5mL9rLzS8qv8PrW3rp139x9A9kwiKfPRF7MPb111kLPnACqau+Xre9GvPAP0TLVvkkp1r/FKa68JBrQvvF6Xxy7p9kxCAb/P2ml3Lwzcv2al498duzmjQ8fO5b1rTVkE6Jl63blXk+1YWQZKz3LcJa80i0nLBzAnWyaRxD0GAO7z5WbrNLtINK7/znAEOhTwq646aC2GhgJ+ta2vtboCdYSbrHpn9vmoe2EgkUzKr1TAbypE15qyCNDdlYtNjz+YCsDtfZZ3tTTo4Y2rmPwjo1z6TSN/luMueSVhkQW4N7lkEnGPAVjOvNrHup0eGHUEzpK05q9C+u6meqs1rxk7TieS+nTkhmqCAYU31lvj6y9/tM3xePfCwNM7Njlaz0rOYnL54jMMdx3eOc8884zefvvtvF5Arty9gmuCASstjIALufr7l//H6qNt/xsClkIpjZkAShfzFsZLAPcmEo3r0LFz1iZtld+nl/9hl2dhYjuz2nso4PdMVbefQX9k82rr3/BLCjd7twBeamWxgy45i6dkKqwCZNLTF9N/fnBJk9O59ZsGACBfmLdUJhZegMJxd79wHwUys5HsG7x+zbVim04kdfzMcNq92t3ZZu3Yv/DuhbkWwPJuAZwPZROgm3hTw0Jla9NHnQIAAHCv3MX/zKJ+BOtA/swXF7o3eE/FRjU8dsv6+sX4hCLReMZ/I9cWwEvNX5BnAYokEo3rjxmC810tDbxpAgCAe+Yu/td7clCvfzis5988r0g0XuSrA5anSDSuF969ICkVbH85PuX4+si3U1nvUXMXfm9bo/72gTV5v14TAToq2umBUbmLLPh90lPbN+i3B/+uKNcEAAAqS3tro2qCAUlSwO+zugyZx+kAFJaZ1WIulB0/M2ydV7fL5R796Isx9cdGC7bgRoCOitbe2qhQYO7P3O+T/u3H39NLB3YW8aoAAEAlMXfafvL9FnXt2WIF67T9BYrDndUiybovQwG/FR/Md496tcbMt7I7gw4sxHwFJAAAAJaC/TysV49lAIVjPz8e8EnhjXPt18yAPJd7tBjn0AnQUfEoLAgAAAqJuQdQXB3hJv30se+o99SQEklDr75/SUee3eHofZ7LPWpmxxRywa2gAbrZy1xiJxP5RasTVBr+pgEAAHI3MTWjxN2+avfSXrnQC24FO4NuNpPvj42qPzaqQ8fOUdUSeRGJxnXwjU/0+ofDOvjGJ/ydoezZC510vfGJevpixb4kAACAkmYv3lhO9SAKFqCfHhh1VM6bTiSpaom8ePHEgGbvrpbNJg29eGKgyFcE3Bt7gZJE0lDvyUEWngCghJntnRirgeKxF2888uyOsslAzHuKu5mWWVcdVCjgt4L0UMBfNqsYKC9/mbyT9WOg3LS3NurYmctWmlbC0KLTtAAA+WVmPd2eSeg3H18tq8AAqDTlWA8irwF6T19ML58cVNJIBeT/+PgDil4bl8QZdOTP0zs36Wj/oONjoJx1hJvUtWeLek8OKmGUV5oWACwnkWhcv+r7PK0tE3NeALnKW4De0xdzBEnTiaSi18b12nN/k6+nBCRJ3Z1tkqT3ol9pX3i99TFQzro722jbAwAlzL5zbmJBFcBC5SVAdwfnKL6evpjei36lLevqtLY2VPET/O7ONgJzVJxyTNMCgOXCXi9EkppXV+vwD7cxbgNYkCUP0CPRuHpPDaU/kd+n/btblvrpkIV5/v+zazf0yfBfJEmx+KQkcSYKKEO0WgOA0tXe2qi3zl6x6i3Fb9yx2gszZgPI1ZIH6KcHRq1CRqZtzfX6xZOtDE5LaL6e8marsVnX78LEmSigvPT0xawz6CywAUDp6Qg36dGt96k/lupSNJs01B8b1UdfjDFmA8jZkrdZs/ebC/h9OrR3q/7r548xKC2hSDSuf/r1x1l7yh85cTFjcC5xJgooJ5FoXC/1p4JzaW6BDQBQPF6t1PbvbrHmwSbGbAALseQ76Ga/OdIw8+fIiYuyx95mT3n7z3rs5rTnY3e1NOjhjav43QBl5MiJi3Ivt9VVB4tyLQCAzK3UzHnw8TPD+mDwG00nkmyKAFiQvBSJo5BRfnkF3+6B/+kdzlZj25tX6fknH+T3ApQhr3t+YmqmCFcCAJCcBeHcxwbNeTB1QwAsRl77oCM/3MH3U9s3pA38tBoDKof7nq/y+9iNAYAiam9t1G8+vqrbM4mMO+RsWAFYDAL0MpRr8E2rMaAymPfxO+euqqF2BUU3AaDIONIJIF8I0MsUwTewvHDPA0BpYYccQD4seRV3AAAAAACwcAToAAAAAACUAAJ0AAAAAABKAAE6AAAAAAAlgAAdAAAAAIASQIAOAAAAAEAJIEAHAAAAAKAE+AzDMDJ9cffu3Wpubi7k9QBASWloaNArr7yS0/cyZgJYzhgvASB3mcbMrAE6AAAAAAAoDFLcAQAAAAAoAQToAAAAAACUAAJ0AAAAAABKAAE6AAAAAAAlgAAdAAAAAIAS8P+MOfORfVYmNgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1008x576 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows=2, ncols=3, figsize=(14,8))\n",
    "axes = axes.flatten()\n",
    "\n",
    "axes[0].scatter(*pca.fit_transform(returns).T, s=10)\n",
    "axes[0].set_title('PCA')\n",
    "axes[0].axes.get_xaxis().set_visible(False)\n",
    "axes[0].axes.get_yaxis().set_visible(False)\n",
    "\n",
    "for i, d in enumerate([.001, .01, .1, .2, .5], 1):\n",
    "    embedding = umap.UMAP(n_neighbors=n_neighbors, \n",
    "                          min_dist=d).fit_transform(returns)\n",
    "    axes[i].scatter(embedding[:, 0], embedding[:, 1], s=10)\n",
    "    axes[i].set_title('Min. Distance: {:.3f}'.format(d), fontsize=14)\n",
    "    axes[i].axes.get_xaxis().set_visible(False)\n",
    "    axes[i].axes.get_yaxis().set_visible(False)\n",
    "\n",
    "    \n",
    "fig.suptitle(f'UMAP | # Neighbors: {n_neighbors:,.0f}', fontsize=16)    \n",
    "sns.despine()\n",
    "fig.tight_layout()\n",
    "fig.subplots_adjust(top=.9)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "celltoolbar": "Slideshow",
  "hide_input": false,
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": true,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": true
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
